If its just good friends and you think you have a chance...go for it...unless she's your only friend. Like you said, you only met her like a month ago. Maybe friends with benifits is the way to go for a little bit?
"So tonight, when you're wondering what to say, or how you look, or whether or not she likes you, just remember, she is already out with you. That means she said yes when she could have said no. That means she made a plan when she could have just blown you off. So that means it is no longer your job to try to make her like you. It is your job not to mess it up."
-Hitch