idk who is this "she" Lucy mentioned, but Thane goes to the tavern regardless, while Nauxus will start dating you if he had 3 or less sus points in the neutral route (in the lizard route, forgiving him at the lake is enough): go to his room during the day and he should ask to join the tavern, the date happening next time you are outside the tavern in the evening.
By what you are saying though, it sounds like you helped the bulls more, so he will stay heartbroken, a shame.