There aren't really that many options.

To satisfy her and your religion, you must marry her.

To satisfy her and yourself, and without caring about religion, then just bang her.

However, can I make 2 observations:

1 - If she really wants it that bad, she's not going to wait for you to marry her. So if you don't do her soon, she'll find someone else willing to do it instead.

2 - If you are really so religious that you don't want to screw your girlfriend, why even seek advice about it? Surely you know what everyone is going to say?!!!