PSE Advent Calendar 2022 (Day 13): Sweden’s Sankta Lucia

Question

<sub>This puzzle is part of the Puzzling Stack Exchange Advent Calendar 2022. The accepted answer to this question will be awarded a bounty worth 50 reputation.

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Ahhh, that was a good day…

Sweden sits down, calm, happy. She pens a letter to Germany to puzzle him.

Hej!

It’s nice to write you a letter after so long, and I hope the snail mail doesn’t take too long! I have a story for you. Some of these clues are IKEA patent Crypticesques, with a twist: They can be…

Carried away by oxen, meaning one word’s first letter disappears,

Burned at the stake, meaning any of the letters in WOOD disappears (in the answer (but the clue still shows the original amount of letters)),

Eyes gouged out, meaning all i’s are removed (once again, only in the answer, with the clue showing the original amount of letters),

Or stabbed in the throat, meaning that one word has its first two letters removed.

NOTICE: some “solutions” may not be full words, but with the help of the tortures above, they become full words!

Have fun, and thanks for everything!

Love, Sverige.

Germany puzzles over it for a bit, then realizes he could just post them here and they would solve it in about five minutes…

Tread quickly, no images show Satan everywhere. (5)

Lo, a valley’s most common epistle, scaring is needed. (4)

R, bleak a pied man. (4)

Too strong, in English, come in! (3)

Write down… er… F? (7)

Like a river, Florida had to pay money. (6 [man, Sweden was insecure about this one], but one is saved)

Dominating another’s conceals metal. (5)

Imagine, common CCCC indicator is removed. (5)

He met Ana, hidden person, thinking beyond. (4)

Unfettered, a flavor of tea meets a Scottish hooligan. (7)

As an example, a famous dog of Jon’s. (1.1.)

Can you help Germany save his puzzling self esteem?

TL;DR

These cryptics are in four different categories. The words in them have either lost one word’s first letter or one word’s first TWO letters. Other ones could have their answer with: all I’s removed, or all letters in WOOD removed. I finished this just in time for nobody to test, so if something’s wrong/too hard, just tell me :) Partials are allowed, so long as they contain more than one fourth of the cryptics answered. For example, “Quickly, before Pascha, do relent.” (4) Is FAST, with quickly as definition, and the throat-chopped-off word is RELENT, to make LENT, a type of fast.

SWEDEN’S RECOLLECTION, EXTENDED (hints one and two)

Sweden would love to give you a hint, but she had a bit too much of Slovenia’s schnapps the night before. It’ll come back slowly, and then will come the Danish kirsebaer. She remembers that “Dominating another’s conceals metal” is stabbed in the throat. "Write down... er... F?" resolves to a real word only with its torture.

Answer 1

_{It's been a couple days and I have more than OP's requested one fourth for a partial answer, so here is what I believe to be some of the clues' solutions.}

Lo, a valley’s most common epistle, scaring is needed. (4)

LOVE (scaring is needed)(carried away by oxen) = LO + V (a valley) + E (most common letter, epistle being a synonym of another sense of the word letter)

Like a river, Florida had to pay money. (6)

FLOWED (Like a river) = FL (Florida) OWED (had to pay money)
(Not sure what the torture is on this one)

Dominating another’s conceals metal. (5)

INGOT (metal) = Dominating another’s (stabbed in the throat)

Unfettered, a flavor of tea meets a Scottish hooligan. (7)

CHAINED (Unfettered)(stabbed in the throat) = CHAI (a flavor of tea) + NED (a Scottish hooligan.)

As an example, a famous dog of Jon’s. (1.1.)

I.E. (As an example) = ODIE (a famous dog of Jon’s)(burned at the stake)