Don't rely too much on luck mate

Might work now and few times later but overall it's more beneficial if you step up your game! I usually text girls saying : " I'm making lazagna/Strogonov/bla bla bla tonight!" If they text me saying they can't I would say something like I wasn't inviting you. So it's a win win situation.
Anyway, if you don't think she is the kind of girl that would come over to your place if you invite her then suggest to have drinks somewhere close to where you live. After having few drinks, by that time you should have already made a sexual frame and have put the idea in her mind. Then tell her to come back to your place for a bit as you want to show her something cool. If she declines, say you are feeling tired and just start moving away, she will follow you if you did it correct.

I can't really tell you exactly what you need to fuck her. Each girl is different. She might need time too, so don't expect to have sex from the first time. Look for vibes and her body language. It will tell a lot! Yeah, and don't force things to happen. Just don't act needy at all, and don't take everything she has to offer.
Hope that helped.