Hehe this a sweet post
You might not be able to solve this one by yourself. When I was a virgin I was a little suprised about how ok I was walking around naked and I prefer if the lights are on
3 dates isn't enough my friend - try about 7!!! She will back off if she feels that all you want it sex (not every woman will of course) but it sounds like she will.
For the moment just back off - just make sure there is a lot of comfortable stoking, hugging, touching. It might take a long time to do this - could be like 2 months so let her go if you are not willing to give this time.
Massage is gooooood but not every woman responds the same of course. I will let practically anyone massage me becuase it doesn't have an erotic effect on me it's intimate but not sexual - it's just very pleasurable is a totally different way - heaven!! Other women will find it uncomfortable no matter who's doing it -they might have very senstive skin that tickles easily.
Is she religious by any chance? What has her upbringing been like? And how old is she?