Puzzling is a Forte of Mine

Question

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Answer is a two-word phrase.

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Text transcript of the clues (for copy-paste purposes)

Agamemnon, to Homer...
Pet food brand with a ProActive Health line...
SI unit equal to one coulomb per volt...
Government org. headed most recently by Gina Haspel...
Chemical produced by the Haber process...
State-run assoc. that provides off-market insurance...
Prophet who revived a child in Zarephath...
Shakespearean Athenian who loves Lysander...
Part of an insect's head that the mouthparts are attached to...
Israeli striker who is the nephew of Eitan Aharoni...

...or extinct mollusk species that looks like a ram's horn
...or Egyptian goddess whose Greek equivalent was Artemis
...or to include an author's name next to a quote, perhaps
...or invoking imagery from "The Divine Comedy"
...or members of the 1%
...or what people claim Eric Swalwell did(?) during an MSNBC interview
...or part of a reggaeton hit that is a remix of "Voodoo Song"
...or French mathematician who first proved e was transcendental
...or tasks on a to-do list
...or vegetable fiber that comes in white and tossa varieties

Answer 1

Continuing from M Oehm's answer:

The phrase he extracted should be parsed as

"Wager Limb X, or Ans".

This is then interpreted:

A wager is a BET; a limb could be an ARM; and X is TEN.
So we have BET ARM TEN: swap A for TE, and we get BETTER MAN.

Answer 2

Partial answer

Answers to the trivia quiz:

     ... DANAAN ●            ● AMMONITE ...
       ... IAMS ●            ● BASTET ...
      ... FARAD ●            ● CITE ...
        ... CIA ●            ● DANTEAN ...
    ... AMMONIA ●            ● ELITE ...
        ... JUA ●            ● FARTED ...
       ... ELIA ●            ● GENTE ...
     ... HERMIA ●            ● HERMITE ...
       ... GENA ●            ● ITEMS ...
      ... BASAT ●            ● JUTE ...

Each answer on the left corresponds to one answer on the right with one A replaced by TE. ("A Forte", that is "A for TE" in the title hints at the substitution. Thanks to this rule, nothing of what Mr Swalwell did shows up in my Google history.) There are ten pairs, each starting with a different letter from A to J.

The letters

The black circles next to the corresponding answers can be connected with lines, which cross one or two letters:



From A to J, the letters are: W AG ER L I MB XO R A NS. They can be rearranged to "wager, limb, xor, ans".

And now?

I don't know. Perhaps we must find synonyms for the words above: Bet + arm / leg / tentacle + ...? Hm. If "xor ans(wer)" is really correct, perhaps that's an instruction to bitwise-xor stuff. Perhaps the A ↔ TE conversion is needed again to find words that can be converted in that fashion? For example, "X or ans" could be read as "X or tens" and the limb "arm" can be turned into "term". Yes, that's all very tentative.

Well, I'm out of ideas for now.