Maybe sex is not what you need? - maybe you are really wanting someone to share you life dreams and hopes with and you have just been using sex as glue to hold your relationships together.

I say give this new lady a chance and dont go into the relationship placing to much importance on the physical... instead look for moments to let the emotional side grow as the two of you spend time together and then allow the physical to become a benefit to sharing your life with her and not life its self.