I imagine Anna and Lady had classes together; but if they ever got put in the same group for a project, they definitely would have butted heads. It would have been like "well if you want it done your way, then maybe you should do the whole thing kind of deal. Anna definitely gets the impression that Lady is either stuck up or thinks highly of herself, but she's not going to go out of her way to mess with her. And after Adam's death, Anna would have definitely given people shit for a few months if they said anything: "oh, are you making fun of the girl with the dead brother? Is that the kind of person you are? Someone who thinks they're cool and clever for making fun of a girl with a dead brother?" kind of deal.