I'm allergic to cats, my girlfriend wants a cat, what's the solution?

She has her own place and really loves cats and wants one. I'm simply allergic, I wouldn't be able to sleep there or stay there for more than a few hours. My stance is: its fine, but I'm not coming over again, you have to come to me. I have a feeling she thinks I'm over reacting.

Am I being a dick? What's the right move here? What would you do?
I'm allergic to cats, my girlfriend wants a cat, what's the solution?
Post Opinion