She is rather anti-Potter, I'm afraid. She won't go out of her way to antagonize the Potter supporters, but she does think he's nothing but a show-off and a cheat, and back when she was using her "Support Cedric" badge she did flash the nastier side of it in his direction on more than one occasion. Because of this, I think she might be somewhat icy towards Katie right now. Sorry, Katie!
Zoe knows of Ingvardine, and is so unimpressed she really doesn't mind not being known.