During the Bough Keeper question you will need to talk to Dainsleif, a new character, in the tavern at Mondstadt. You will ask him to go on an adventure with you, but he will have a price. 500 Mora, and three questions, that is what Dainsleif requires if he is to adventure with you.
There does not seem to be any right or wrong answers that you can give to Dainsleif, and this section is more about roleplaying your character in a way that appeals to you. Will you make them self-centered, or a champion of the people?
Dainsleif Questions and Answers