Ew!
I've found someof my cousins attractive before, but in a family kind of way. Like when you say to your friend, "Yeah, my cousin Simon is pretty cute." Never in a romantic sense. I dunno, I live in a small town and a lot of my friends are related. They'll date a 2nd cousin and not even know it. Thank god I was born elsewhere and then moved here! If I dated a cousin, even if they were a 5th or 6th cousin, I would vomit.
Oh, and I think your cousin is sick if she's coming onto you like that, and I think you both need to go see a shrink....
Go to Heaven for the climate, Hell for the company.