As much as you like her, I would recommend not pursuing a relationship with her. Dating outside your religion is never a good idea, if you take your religion seriously. Sure there have been times when a Christian dated a non-Christian and the non-Christian converted, but that's the exception to the rule, and I don't think it's wise to take that risk. It sucks, but it's the better thing to do. :/ Feelings of infatuation pass with time, don't worry.
I've had feelings for a couple non-Christians before, but those never resulting in relationships. Probably for the better.