Curiously enough, I wrote a program to do just this nearly 10 years ago! I've long since lost the program, but here are all the ways the second player can force a win:
a: ['aorta', 'aortographies', 'aortography']
b: ['bwana']
c: ['cnidarian', 'ctenidium', 'ctenoid', 'ctenophoran']
d: ['dwarf', 'dwarves', 'dweeb', 'dwell', 'dwelt', 'dwindle', 'dwindling', 'dwine', 'dwining']
e: ['ejaculate', 'ejaculating', 'ejaculation', 'eject', 'equable', 'equably', 'equal', 'equator', 'equerries', 'equerry', 'equiangular', 'equicaloric', 'equid', 'equilateral', 'equilibrant', 'equilibrate', 'equilibrating', 'equilibration', 'equilibrist', 'equilibrium', 'equimolar', 'equinoctial', 'equinox', 'equip', 'equisetum', 'equitable', 'equitably', 'equites', 'equivalence', 'equivalencies', 'equivalency', 'equivocal', 'equivocator', 'equivoque']
f: ['fjeld', 'fjord']
g: ['gjetost']
h: ['hryvnia']
i: ['ihram', 'ipomoea', 'ipsilateral', 'ivied', 'ivies', 'ivories', 'ivory', 'ivylike']
j: ['jnana']
k: ['klatsch', 'klavern', 'kleagle', 'kleptomania', 'klezmer', 'klezmorim', 'klister', 'klong', 'kloof', 'kluge', 'klutz', 'kwashiorkor']
l: ['llama', 'llano']
m: ['mbira', 'mpret']
n: ['ngwee', 'nyala', 'nylghai', 'nylghau', 'nylon', 'nymph', 'nystagmic', 'nystagmus']
o: ['oecumenical', 'oedipal', 'oenomel', 'oenophile', 'oersted', 'oesophagi', 'oestrin', 'oestrum', 'oestrus', 'oquassa', 'ozocerite', 'ozokerite', 'ozonate', 'ozonating', 'ozonation', 'ozone', 'ozonide', 'ozonise', 'ozonising', 'ozonization', 'ozonize', 'ozonizing', 'ozonosphere', 'ozonous']
p: ['pneumococci', 'pneumograph', 'pneumonectomies', 'pneumonectomy', 'pneumonia', 'pneumonic', 'pneumonitides', 'pneumonitis', 'ptarmigan', 'pteridine', 'pteridologies', 'pteridologist', 'pteridology', 'pterodactyl', 'pterosaur', 'pterygium', 'pterygoid', 'pteryla', 'ptomain', 'ptyalin']
q: ['quaff', 'quahaug', 'quake', 'quakier', 'quakily', 'quaking', 'quaky', 'quale', 'qualifiable', 'qualification', 'qualified', 'qualifier', 'qualifies', 'qualify', 'qualitative', 'qualities', 'quality', 'qualm', 'quamash', 'quant', 'quare', 'quark', 'quarrel', 'quart', 'quash', 'quasi', 'quass', 'quate', 'quattuordecillion', 'quean', 'queasiest', 'queaziest', 'quebracho', 'queen', 'queer', 'quell', 'quercetin', 'querida', 'queried', 'querier', 'queries', 'querist', 'quern', 'querulous', 'query', 'quest', 'quetzal', 'queue', 'queuing', 'quibble', 'quibbling', 'quick', 'quiescent', 'quiet', 'quiff', 'quill', 'quilt', 'quire', 'quiring', 'quirk', 'quirt', 'quixote', 'quixotism', 'quoin', 'quoit', 'quomodo', 'quondam', 'quota', 'quote', 'quoth', 'quotidian', 'quoting', 'qursh']
r: ['reaccession', 'reacclimatize', 'reacclimatizing', 'reach', 'reacquire', 'reacquiring', 'reacquisition', 'react', 'reaffix', 'reagent', 'reaggregate', 'reaggregating', 'reaggregation', 'reanalyze', 'reanalyzing', 'reanimate', 'reanimating', 'reanimation', 'reannex', 'reassurance', 'reata', 'reattempt', 'reattribute', 'reattributing', 'reattribution', 'reauthorization', 'reauthorize', 'reauthorizing', 'reavail', 'reave', 'reaving', 'reawake', 'reawaking', 'reawoke', 'rebalance', 'rebalancing', 'rebaptism', 'rebaptize', 'rebaptizing', 'rebar', 'rebbe', 'rebec', 'rebegan', 'rebegin', 'rebegun', 'rebel', 'rebid', 'rebirth', 'reblend', 'rebloom', 'reboant', 'reboard', 'rebop', 'rebound', 'rebreed', 'rebroadcast', 'rebuild', 'rebuilt', 'rebus', 'rebut', 'rebuy', 'recalcitrance', 'recalcitrancies', 'recalcitrancy', 'recalculate', 'recalculating', 'recalculation', 'recalibrate', 'recalibrating', 'recalibration', 'recap', 'recarried', 'recarries', 'recarry', 'recce', 'receipt', 'receive', 'receiving', 'recencies', 'recency', 'recension', 'recertification', 'recertified', 'recertifies', 'recertify', 'rechallenge', 'rechallenging', 'rechannel', 'rechart', 'rechauffe', 'recheat', 'recheck', 'recherche', 'rechoreograph', 'rechose', 'rechromatograph', 'recipient', 'reciprocate', 'reciprocating', 'reciprocation', 'reciprocative', 'reciprocities', 'reciprocity', 'recirculate', 'recirculating', 'recirculation', 'recital', 'reclaim', 'reclamation', 'reclame', 'reclasp', 'reclean', 'recline', 'reclining', 'recluse', 'reclusion', 'reclusive', 'recognise', 'recognising', 'recognition', 'recognizabilities', 'recognizability', 'recognize', 'recognizing', 'recollect', 'recolor', 'recommend', 'recompilation', 'recompile', 'recompiling', 'recompose', 'recomposing', 'recomposition', 'recomputation', 'recompute', 'recomputing', 'recon', 'recount', 'recover', 'recrate', 'recrating', 'recriminate', 'recriminating', 'recrimination', 'recriminative', 'recriminatory', 'recross', 'recrown', 'recruit', 'recrystallization', 'recrystallize', 'recrystallizing', 'recta', 'recti', 'recto', 'rectrices', 'rectrix', 'recultivate', 'recultivating', 'recumbent', 'recur', 'recusal', 'recusancies', 'recusancy', 'recut', 'recycle', 'recycling', 'redan', 'redbait', 'redbird', 'redbone', 'redbreast', 'redcoat', 'redfish', 'redhead', 'redia', 'redid', 'redip', 'rediscuss', 'redisplay', 'redispose', 'redisposing', 'redisposition', 'redistill', 'redivivus', 'redline', 'redlining', 'redly', 'redneck', 'redness', 'redpoll', 'redraft', 'redream', 'redress', 'redried', 'redries', 'redrill', 'redrive', 'redriving', 'redroot', 'redrove', 'redry', 'redtail', 'redub', 'reducible', 'reducibly', 'reductant', 'reductase', 'reduction', 'reductive', 'redundant', 'reduplicate', 'reduplicating', 'reduplication', 'reduplicative', 'redux', 'redware', 'redwing', 'redwood', 'redye', 'reechiest', 'reeject', 'reembroider', 'reemphasize', 'reemphasizing', 'reenact', 'reencounter', 'reendow', 'reenforce', 'reenforcing', 'reengrave', 'reengraving', 'reenjoy', 'reenter', 'reentrant', 'reentries', 'reentry', 'reequip', 'reerect', 'reeve', 'reeving', 'reevoke', 'reevoking', 'reexamination', 'reexamine', 'reexamining', 'reexpel', 'reexplore', 'reexploring', 'reexpress', 'refashion', 'refed', 'refel', 'refence', 'refencing', 'refer', 'reffing', 'refight', 'refinance', 'refinancing', 'refit', 'refix', 'reflate', 'reflating', 'reflation', 'reflect', 'reflies', 'refloat', 'reflood', 'refluence', 'refly', 'refocus', 'reforge', 'reforging', 'refortification', 'refortified', 'refortifies', 'refortify', 'refound', 'refract', 'refrain', 'reframe', 'reframing', 'refrangible', 'refresh', 'refried', 'refries', 'refrigerant', 'refrigerate', 'refrigerating', 'refrigeration', 'refront', 'refroze', 'refry', 'refugia', 'refulgent', 'refurbish', 'refurnish', 'refusal', 'refutable', 'refutably', 'refutal', 'regal', 'regatta', 'regauge', 'regauging', 'regencies', 'regency', 'regenerable', 'regenerator', 'reges', 'regicidal', 'regisseur', 'registrable', 'registrar', 'reglaze', 'reglazing', 'regloss', 'regma', 'regna', 'regorge', 'regorging', 'regosol', 'regrade', 'regrading', 'regraft', 'regrant', 'regrate', 'regrating', 'regreen', 'regreet', 'regress', 'regrind', 'regroom', 'regroup', 'regular', 'regulator', 'regulus', 'regurgitate', 'regurgitating', 'regurgitation', 'rehab', 'rehem', 'rehinge', 'rehinging', 'rehospitalization', 'rehospitalize', 'rehospitalizing', 'rehouse', 'rehousing', 'rehydrate', 'rehydrating', 'rehydration', 'rehypnotize', 'rehypnotizing', 'reign', 'reimage', 'reimagine', 'reimaging', 'reimagining', 'reimburse', 'reimbursing', 'reimmerse', 'reimmersing', 'reimplant', 'reitbok', 'reiterate', 'reiterating', 'reiteration', 'reiterative', 'reive', 'reiving', 'rejoice', 'rejoicing', 'rejudge', 'rejudging', 'rejuvenator', 'rejuvenescent', 'rekey', 'relabel', 'relacquer', 'relandscape', 'relandscaping', 'relapse', 'relapsing', 'relatable', 'relator', 'relax', 'relay', 'relearn', 'release', 'releasing', 'relet', 'relevance', 'relevancies', 'relevancy', 'reliabilities', 'reliability', 'reliant', 'relic', 'relieve', 'relieving', 'relievo', 'relight', 'religiose', 'religiosities', 'religiosity', 'religious', 'reliquaries', 'reliquary', 'relique', 'reliquiae', 'relit', 'relocatable', 'relubricate', 'relubricating', 'relubrication', 'reman', 'remap', 'remarried', 'remarries', 'remarry', 'rematch', 'remeasure', 'remeasuring', 'remediabilities', 'remediability', 'remediate', 'remediating', 'remediation', 'remembrance', 'remerge', 'remerging', 'remet', 'remex', 'remiges', 'remigration', 'reminisce', 'reminiscing', 'remit', 'remix', 'remnant', 'remodel', 'remoisten', 'remonstrant', 'remonstrate', 'remonstrating', 'remonstration', 'remonstrative', 'remorid', 'remorse', 'remount', 'removable', 'removably', 'removal', 'remunerator', 'remythologize', 'remythologizing', 'renaissance', 'renal', 'renascent', 'renationalization', 'renationalize', 'renationalizing', 'rencontre', 'renegotiate', 'renegotiating', 'renegotiation', 'renew', 'renig', 'renin', 'renitencies', 'renitency', 'rennase', 'renographic', 'renormalization', 'renormalize', 'renormalizing', 'renovator', 'reobserve', 'reobserving', 'reoccur', 'reoffer', 'reoil', 'reoperate', 'reoperating', 'reoperation', 'reorchestrate', 'reorchestrating', 'reorchestration', 'reorder', 'reoxidation', 'reoxidize', 'reoxidizing', 'repaint', 'repanel', 'repaper', 'reparable', 'repartition', 'repatch', 'repattern', 'repay', 'repechage', 'repeg', 'repel', 'repertories', 'repertory', 'repetitious', 'repin', 'replace', 'replacing', 'replaster', 'replate', 'replating', 'replead', 'replenish', 'replete', 'repletion', 'repleviable', 'replevied', 'replevies', 'replevy', 'replica', 'replied', 'replier', 'replies', 'replumb', 'reply', 'reprehend', 'reprehensible', 'reprehensibly', 'represent', 'repress', 'reprice', 'repricing', 'reprieval', 'reprimand', 'reprint', 'reprise', 'reprising', 'reprivatization', 'reprivatize', 'reprivatizing', 'repro', 'reptant', 'reptile', 'reptilium', 'republish', 'repudiate', 'repudiating', 'repudiation', 'repulse', 'repulsing', 'repulsion', 'repulsive', 'repunctuation', 'reputable', 'reputably', 'requalification', 'requalified', 'requalifies', 'requalify', 'request', 'requiem', 'require', 'requiring', 'requisite', 'requisition', 'requite', 'requiting', 'reradiate', 'reradiating', 'reradiation', 'reraise', 'reraising', 'reran', 'reredos', 'rerelease', 'rereleasing', 'reremouse', 'rerig', 'reroute', 'rerouting', 'rerun', 'resalable', 'resaw', 'resay', 'rescale', 'rescaling', 'rescind', 'rescore', 'rescoring', 'rescuable', 'resee', 'resegregate', 'resegregating', 'resegregation', 'reseize', 'reseizing', 'resemblance', 'resensitize', 'resensitizing', 'reserpine', 'reservation', 'reserve', 'reservice', 'reservicing', 'reserving', 'reservist', 'reservoir', 'reset', 'resew', 'resid', 'resight', 'resilient', 'resin', 'resitting', 'reslate', 'reslating', 'resmelt', 'resocialization', 'resocialize', 'resocializing', 'resod', 'resojet', 'resoluble', 'resolve', 'resolving', 'resonance', 'resonator', 'resound', 'resow', 'respace', 'respacing', 'respade', 'respading', 'respeak', 'respect', 'respell', 'respelt', 'respiration', 'respire', 'respiring', 'respirometric', 'respite', 'respiting', 'resplendent', 'resplit', 'respoke', 'respond', 'responsible', 'responsibly', 'responsions', 'responsum', 'respray', 'resurface', 'resurfacing', 'resurge', 'resurging', 'resurrect', 'resuscitate', 'resuscitating', 'resuscitation', 'resuscitative', 'resyntheses', 'resynthesis', 'resystematize', 'resystematizing', 'retable', 'retag', 'retaliate', 'retaliating', 'retaliation', 'retaliative', 'retaliatory', 'retaste', 'retasting', 'retax', 'retch', 'rethink', 'rethought', 'retia', 'reticence', 'reticencies', 'reticency', 'reticle', 'reticuloendothelial', 'reticulum', 'retie', 'retighten', 'retinitides', 'retinitis', 'retinol', 'retinopathies', 'retinopathy', 'retinoscopies', 'retinoscopy', 'retinue', 'retitle', 'retitling', 'retouch', 'retrace', 'retracing', 'retrack', 'retract', 'retrain', 'retransform', 'retranslate', 'retranslating', 'retranslation', 'retread', 'retreat', 'retrial', 'retribution', 'retributive', 'retributory', 'retried', 'retries', 'retrievable', 'retrieval', 'retro', 'retry', 'retting', 'retwist', 'retying', 'reunification', 'reunified', 'reunifies', 'reunify', 'reunion', 'reunite', 'reuniting', 'reupholster', 'reusabilities', 'reusability', 'reuse', 'reusing', 'reutilization', 'reutilize', 'reutilizing', 'reutter', 'revaccinate', 'revaccinating', 'revaccination', 'revaluate', 'revaluating', 'revaluation', 'revalue', 'revaluing', 'revascularization', 'revel', 'revenge', 'revenging', 'revenue', 'reverie', 'revet', 'revictual', 'revisable', 'revisal', 'revisit', 'revisor', 'revisualization', 'revivable', 'revival', 'reviviscent', 'revocable', 'revoice', 'revoicing', 'revokable', 'revolve', 'revolving', 'revue', 'revuist', 'revulsion', 'revulsive', 'revving', 'rewan', 'rewax', 'reweave', 'reweaving', 'rewed', 'reweigh', 'rewet', 'rewiden', 'rewin', 'rewon', 'rewound', 'rewrite', 'rewriting', 'rewritten', 'rewrote', 'rewrought', 'rexes', 'reynard', 'rhabdocoele', 'rhabdom', 'rhabdovirus', 'rhachides', 'rhachis', 'rhadamanthine', 'rhamnus', 'rhaphae', 'rhapsodic', 'rhatanies', 'rhatany', 'rhenium', 'rheological', 'rheometer', 'rheum', 'rhinencephala', 'rhino', 'rhizobium', 'rhizoctonia', 'rhizoid', 'rhizoma', 'rhizome', 'rhizopi', 'rhizosphere', 'rhizotomies', 'rhizotomy', 'rhodium', 'rhodochrosite', 'rhodolite', 'rhodonite', 'rhodopsin', 'rhodora', 'rhomb', 'rhonchi', 'rhubarb', 'rhumb', 'rhyme', 'rhyming', 'rhyolitic', 'rhyta', 'rhytidome']
s: ['sferics', 'sforzandi', 'sforzando', 'sfumato', 'sgraffiti', 'sgraffito', 'sjambok', 'squab', 'squad', 'squalid', 'squalor', 'squamosal', 'squat', 'squaw', 'squeamish', 'squeezabilities', 'squeezability', 'squeeze', 'squeezing', 'squeg', 'squelch', 'squib', 'squid', 'squiffier', 'squiffy', 'squiggliest', 'squinch', 'squinnied', 'squinnier', 'squinnies', 'squinny', 'squoosh']
t: ['tchotchke'];
u: ['ufologies', 'ufologist', 'ufology', 'uhlan', 'uintahite', 'uxorial', 'uxoricide']
v: ['vying']
w: ['wrack', 'wrang', 'wrassle', 'wrassling', 'wrastle', 'wrastling', 'wrath', 'wreak', 'wreck', 'wrest', 'wrick', 'wried', 'wrier', 'wries', 'wriggle', 'wrigglier', 'wriggling', 'wriggly', 'wring', 'wrinkle', 'wrinklier', 'wrinkling', 'wrinkly', 'wrist', 'wrong', 'wrote', 'wroth', 'wrought', 'wrung', 'wryer', 'wryly', 'wryneck', 'wryness']
x: ['xanthan', 'xanthic', 'xanthin', 'xanthophyll', 'xebec', 'xenia', 'xenic', 'xenodiagnoses', 'xenodiagnosis', 'xenograft', 'xenon', 'xenophile', 'xenophobe', 'xerarch', 'xeric', 'xerographic', 'xerophile', 'xerophilies', 'xerophilous', 'xerophily', 'xerophthalmia', 'xerophthalmic', 'xerophyte', 'xerophytism', 'xeroradiographies', 'xeroradiography', 'xeroses', 'xerosis', 'xerothermic', 'xerotic', 'xerox', 'xerus', 'xiphisterna', 'xiphoid']
y: ['ycleped', 'yperite', 'ytterbium', 'yttrium']
z: ['zlote', 'zloties', 'zloty', 'zucchetto']
