I can't believe this is an honest question, Hooves, but in case it is - in future you ASK.
When you ring up to book your mammogram, you say to the receptionist, 'for personal reasons, I would prefer a male radiographer. Is it possible for you to book me in with a male ?' And then the receptionist either says 'yes, sure, how is Jan 22 @ 3pm ?' or 'Im so sorry, we don't have a male radiographer on staff. ' and if that's the case, you ring up another place.
Or, if you are just given an appt, no choice, and you see there is a female radiographer, you say 'I'm so sorry, but for personal reasons I cannot have this procedure with a female hcp.' And then if they get het up and say, most unprofessionally, 'um, what, I'm quite competent, you know', you say 'I do not doubt your competence, but for personal reasons, I am only able to go through with this procedure with a male radiographer.' And then they have to sort it. Maybe you have to come back another day, or wait longer for an appt, or, worst case scenario, go private.
Everybody - yes, even those with trauma - has to present with a basic level of self-advocacy. If you can't do it yourself, then you must take someone to advocate for you.
The hcp has a responsibility to LISTEN to you, not read your mind.
If you, personally, want more males in nursing and radiography and so on, then I suggest you agitate for better pay and conditions for nurses and other hcps - it's the pay that attractes males to 'pink collar' jobs.
Arguing with feminists on the internet about their right to choose female hcps won't help you in any discenible way.