I would say that JME is correct. As are many of the other comments. As a 'broad brush' (& with no statistical evidence whatsoever), I would venture to suggest that 99% of doctors and other medical professionals are wonderful people who do a superb job. But...there is always the possibility of professionals who act improperly towards their patients within that 1%.
Certainly...everything that has come to light during recent years with regard to the horrendous abuse inflicted upon vulnerable youngsters by priests, teachers, children's homes staff, juvenile detention centres staff, sports coaches etc...is truly appalling. I am only thinking about my knowledge of such cases in the UK - although I have no doubt that there have been similar shocking revelations in the USA (& doubtless in many European & other countries - which we simply never get to hear of).
Within the past week, two former football (soccer) coaches (who worked eith teenage boys on the verge of potentially becoming professional players) have both been jailed (30 and 24 years respectively) for truly shocking historical sex abuse. It has rocked the football (soccer) world. There are currently a lot of amateur coaches now under investigation for abusing boys (and girls).
Cases involving doctors do not make the headlines very often....but there are several cases (reported within the last year or two) ehere doctors have been struck off the medical register and jailed. I have NO complaints whatsoever with the many excellent doctors who have dealt with me as an adult during the past (almost) 50 years.
When I was a child / teen, I had many more examinations than the average child (because of an ongoing medical condition). My initial premise would seem to hold good as a very rough percentage. I had c.40 examinations spread over almost 12 years. I always wound up naked during those exams (it was normal during the 1960s). I was definitely subjected to molestation during just ONE of those examinations. It was upsetting, but more very confusing. Back then, doctors had enormous respect. We had 100% trust in them (I am not saying that is not the case today). Moreover, they were authority figures and we, as children, were conditioned to obey them - utterly and totally.
Plus, of course, doctors (quite legitimately) had the power to instruct you to remove all of your clothes (far more common back in tbe 1960s). So...much easier for anyone who was predisposed to behave inappropriately to be able to fairly easily mask such behaviour. With regard to parents being present when their children are examined..,that may be true nowadays, but the vast majority of my examinations back in the 1960s were conducted with no parents or other adults beung present. Again, I think that was pretty common back in the 1960s.
A recent high profile case in the UK involved brilliant cancer consultant Myles Bradbury. Medically, he genuinely helped his patients (mostly boys aged 10 -17) but he also sexually assaulted hundreds of them (as well as taking over 150, 000 secret photos of them in various stages of undress). He got around tbe problem of their parents - partly by sometimes persuading them to leave the examination room, or else (again legitmately) taking the boys behind a screen.
But, anyway.,.IMHO, I maintain that the vast majority of medical professionals do a fantastic job and they are dedicated to helping their patients, But....in any profession.....there is always likely to be a tiny minority (very tiny) who may abuse their position for their own dubious gratification.