Look in the bar in the morning for the books.
If Annie only gave you one chance to help out then you're running a broken translated version or someone's edited some variables they shouldn't have. She stops giving you chores once you've done them all and your physical stat is at a certain level, but that takes a few events.
There's only one catgirl in the game - Erica - and she doesn't give you a quest so I'm not sure what that's about sorry.