Iain wouldn't really have any connection to her at all sadly!
Nev wouldn't know her but he's been steering clear of Slytherins for a while and distrusts anyone that's even remotely whispered about being DE-ish.
Will wouldn't know her, but wouldn't dislike her unless she started it first. She's in Josiane's year, so her opinions of Kit and Kit's interactions with Jason might color Will's opinions.
Peregrine is probably one of the people talking about her bad reputation. They could of had a fling or something at some point, but he tries to not be too associated with the girls that are talked about like that.
Teo doesn't have the best of reputations either, so though she might find herself gossiping about Kit even if she doesn't realise it (poor girl, she's a lil dense), she couldn't help but sympathise still.