If she was a longtime friend or "buddy" that you trusted i would say of course you should...
To be honest though you have to wonder about the mental stability of a girl that has known you for such a short period of time and wants to move in with any guy that fast...or her motives...
You might come home to an empty house, stolen credit cards, and an empty bank account if you dont watch out...
There are million other hot broads out there you can have fun with and you dont have to let them live with you...
