We may be looking at it the wrong way round. Why would Quinn want to rile up the MC? She and the MC are kind of neutral atm (and even if you try to antagonize her, she has no relationship point stat.) In some playthroughs, she's even reliant on the MC to help "finance" her way out of her cash shortfall.
From what I observed between my CHICK and DIK playthroughs, Quinn seems to
dislike Maya not the MC - and she dislikes her more the more MC talks about her/defends her/warns her against Quinn.
Using kindergarten playground logic, this would suggest that Quinn actually secretly likes the MC (and thus dislikes the girl he shows an interest in.)