It's odd, though, because of how annoyed Gin gets at her. True, it'd be strange for the boss to let him off the hook, unless if he were for some reason unaware.. which is quite unlikely. Somehow Vermouth seems to like Gin more than Gin likes her, but I haven't read much into interpreting Gin's actions. It's at least implied that Vermouth is very important to Anokata for some reason. I don't really see the leader being a girl :/