I'm sure most of you have been in love. I mean follow each other to the end of the earth love. If the person you were in love with got a terminal - maybe even communicable - disease, how would your feelings for them change? For most of us, in a crazy kind of way, I think the relationship would get closer because of your drive to protect your partner. I really believe that none of you would turn and run. Instead, you'd find a way to keep as much of the love and affection you always had...maybe even more.
OBVIOUSLY, the OP question is different because it is about starting a NEW relationship. Still, as a guy with some potentially serious health complications, I know my better half couldn't have resisted me anyway

. Health and love don't "speak" to each other rationally. Besides, HIV is a well-understood disease compared to 25 years ago. Those who are infected can have long, healthy and productive lives (e.g. Magic Johnson)...AND sex lives.
I'm not saying anyone SHOULD feel differently than they do. It's a terrifying and complicated thing we're talking about here. My point is that love is way bigger and more powerful than any disease, and trust me that nothing in the world would make me run away from it.
As for a date? Love has to start somewhere, right?