Soldato
Just be professional and get on with it. If she hasn't done anything to spite you personally just get the work done and leave, you don't need to speak about anything personal.
Could it be that, on a subconscious level, you're actually infatuated with her? If so you need to start the charm offensive, my suggestions:
1. Start sending her anonymous love letters detailing the fact that one day you will be together and that you will be working towards this goal. Consider catchy phrases such as "I'm going to get you" or "I'm coming for you".
2. Try to spend more time with her outside of work, perhaps walk her home of an evening, but obviously you don't want to come on too strong at this stage so escort her from a safe distance, and protect your identity by wearing a rain mac and hat, and ducking into alleys every time she looks behind her.
This should be a good start.
is that you Adam?