Dude, I think you're going a bit overboard with the hippocratic oath. If you're referring to the classical rendition from ancient Greece, keep in mind very few physicians actually take it literally, and only treat it as a poetic way to describe a physicians duty to "work for the good of the patient." Do you intend to swear by Apollo to never do harm to anyone, ever? To never do an abortion, or do a surgery?
Have you read the
modern rendition of the oath? I think its phrasing is beautiful and keeps things very abstract. This part may be relevant:
I will remember that I remain a member of society, with special obligations to all my fellow human beings, those sound of mind and body as well as the infirm.
So you are obliged to serve not just the sick, but all of society. If people of society say, "We don't want you to flirt with us when we are sick," then you are obliged to do so.