Don’t make him or her your doctor. It’s human nature to want your physician boyfriend or girlfriend to check out every pain or twinge you experience. Do you want your lover to look at your body clinically without any appreciation, in an impersonal way? That's a hard mental flip a doctor has to make in order to treat someone he/she loves. Also, if you're constantly asking for free medical advice, it may become annoying and create the impression you're a hypochondriac. Remember that one of the number one rules of dating is to leave a little mystery, especially when it comes to pap smears and piles. Your doc date would rather all medical talk got left at work.
Don't try to outsmart your doc date with popular science knowledge. You might have read the most fascinating treatise on treating the latest 'flu but unless you're also medically trained and retrieved that information from reputable medical sources that your doc date would rely on, don't pretend you have all the answers. By all means seek to hold intelligent conversations about the social costs of pandemic 'flu outbreaks and your ideas for better developing country medical access but don't pretend you know how to actually treat anything.
Ask for a referral if you're truly worried about something. If he or she has checked that mole and thinks it's okay, but you're still obsessing, ask for a referral and go to your usual doctor or a specialist.
Don’t expect him or her to treat you for every issue. Many physicians won’t treat family members because they feel as though it’s unethical. Don’t expect that because you're dating a doctor, you'll automatically receive 24/7 care. Go on the assumption that you will continue visiting your current team of doctors and possibly ask for his or her opinion from time to time if needed.