I agree with Derby on this one. I think she is not willing to put all her eggs in one basket on a hunch that she might like sex with women. I think she is testing out the waters with you and is not willing to go there on the connection bit. Your thinking it's connection could also be that you are picking up on feelings of something else, such as curiosity, awkwardness, inadequacy, developing trust... apprehension? All balled into one... it could appear that she is close to you, but really she is figuring out if you are to be trusted sexually and as a potential partner...
I would tread very lightly also in terms of investment... you could be reeled in and them tossed aside very easy.
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