Answer from the heart. Well, your character's heart. The part of themselves that was denied for far too long. Pretend that they cannot lie. So answer truthfully, even if your character would make things up.
Some of the questions will have answers that don't quite make sense (for example, the one that only has various ways of saying yes). This is normal. There is no way to deny that option (it's stied to the storyline).
The answers will be used to determined your character's arcana, and may heavily tip the randomness towards a card. Characters who do not submit their questions a week after being accepted will be randomized an Arcana without taking into consideration the answers.