Obviously you can't use the same tactic on all people because some are Muslims, Some Atheists, some kind of atheists. some christians by name only.
For that woman, I suggest giving her this website, check it out, it taught me a lot, very amazing:
Eternal Productions - 101 Scientific Facts and Foreknowledge
As Paul said, some are babe in Christ so we must feed them with milk. But she is not a babe in Christ, she's not even a .... something :P so you must introduce God to her.
The verse that boan posted is amazing,
Gal 6:9 To not give up! Keep praying for God to move her. Do not give up. when she becomes more into Christ, teach her how to pray, not just a fake prayer of being saved, it doesn't work that way, but give her an idea on how to pray, pray with her also.
Let her know which words to say, and to not pray in selfishness.
I was praying for selfish desires 12 months ago, until a friend of mine told me 6 months ago how to truly pray, and it is to seek God. So don't be afraid to give her advice and to be bold. But that's for later use, not now.