If you feel such a deep emotional bond with her, but do not feel physically drawn to her, you could try being physically intimate and see if you can develop the feeling of being drawn to her. I started my current relationship in Nov of last year without being drawn to a person but simply because he was so nice, and now I feel quite good about the sex.

Of course, I am a woman, so I do not have to have an erection to proceed... a big difference. But, just a thought - to me, if you have a negative sexual experience, then it is the end, but if you start off as neutral (you are not put off by her, right? you are neutral), then, positive things can be built on top of that neutrality.

If you go that route, make sure you explain yourself, so that she is not being mis-led.