Welcome Nicki! I am sorry that you and your girlfriend brokeup. You have come to the right place, we are a very supportive family here.
It is hard to be lesbian, and especially if you are Muslim. It is my understanding that it is considered a terrible thing to be gay when you are Muslim. She has probably not been able to get over her fear and accept herself. It is nothing you have done. It is very difficult to accept being gay and finding peace with your religion. Also, you did nothing to 'make' her a lesbian. There is no reason to think that you have made her not normal, like you said in your posts. It sounds like she may have been curious about being a lesbian and found out that it was not what she wanted, or she is just not ready to admit she is one yet. Everyones journey is different and takes a different path.
Even here in America there are people afraid of being gay and showing their affection to each other. My wife was beaten very badly for being lesbian before and now she is frightened to show affection in public to me. However, we are working on that and she is getting more comfortable. Please stay around and continue to post, so we can get to know you!