A detective girl who has a disdain for everything around her is likely to consider you either a bystander with information or a potential suspect in a recent homicide case.
Initially, don't expect her to be fond of you. In fact, quite the opposite. Nevertheless, it's interesting to see how things might unfold.
I might tweak the context a bit since I'm not entirely sold on the current setup. Should a better idea come to mind, I'll be sure to make an update.