I’ve only had a female nurse do a smear, but a man did my colposcopy, with a woman present - they are very kind at the colposcopy place in our nearest hospital and everything is set up to put you at your ease.
My community midwife last time was a man and he was brilliant. I ended up having 3 sweeps and I would have been happy to have him at the birth, although I got a lovely woman instead, and would choose her again if there was an opportunity to do so. This time round I’ve seen 3 women so far and I’m not as comfortable with them just down to their manner.
I’ve never requested a woman for any procedure before, but I would consider it as I’ve found many male gps to be quite dismissive and unhelpful. I’d rather not bother seeing a gp at all in pregnancy as they’ve always been a bit clueless - things like panicking they can’t feel baby on one side of the bump when it’s fecking obvious that it’s all shoved up on the other side from the shape of the bump.
I think the right to request a hcp the same sex as you is very important, even if I never do it myself. Presumably it’s not always possible when you’re seeing a specialist, but the right to a chaperone hopefully compensates for this. I’m personally not that bothered about things like lots of students being present, but can understand others being. As pp said, if there is just one woman who feels uncomfortable, I would fight for her right to see a female hcp.