In v0.2.0, the player character will get in trouble with the law. Performing certain actions increase her notoriety. When it gets high enough, guards will hassle her, and can even attempt to arrest her.
Being arrested isn't all bad though. You get some interesting scenes and events and you'll even need to get yourself arrested to make it into the dungeon as part of the story in the new update!
Other new consequences will also exist; NPCs will react more strongly to nudity, poor hygiene, and the player character's reputation.