I also prefer friendly ones. But I think it's a mistake to equate friendly with not rapey. Or to equate cold and distant with rapey.
One of the signs of psychopathy is that they're very charming, friendly and quickly well liked. Larry Nassar was apparently super charming.
Then there's that thing about intuition. Human intuition sucks. Intuition is only useful within a domain where you spend most of your time. So in a workplace you've had a long time, or in a long relationship or doing a task you've done a lot. But once you're removed from the familiar (like at a doctors office) your intuition will make you take the wrong decision more often than if you'd just made choices at random. It's an interesting psychological effect. We're not good in novel situations. So I think trusting your judgement about doctors will not serve you well. We tend to put too much weight on irrelevant details, rather than the stuff that matters.
when it comes to doctors, most people feel comfortable judging how good they are at work. But unless we've been to medical school... that judgement is based on nonsense.
I don't disagree with most of what you've said, but I've always been an excellent judge of whether or not a man was creepy, whether or not they are doctors. The biggest problem in my opinion is that a lot fo women are intimidated by male doctors and don't feel comfortable standing up to them. I've never, ever had that problem, not as a nurse, not as a patient. But, not every woman is as assertive as I am. It's sort of like women who are victims of sexual harassment and assault. I'm not claiming that what I did to get rid of a man who threatened to rape me always works. But, what I did was stand up to him, then I shamed him. He left me, probably with a limp dick having between his legs, because instead of acting fearful, which I was, but I was able to hide my fear and take charge of the situation. I realize that not every woman is able to do that and if a rapist is a raging psycho, my tactics may not work. But, the local police told me that what I did was the best thing a woman can do when she is threatened by a rapist.