I am not a radiographer, but I am a keen student of human nature, and NHS costs would go up due to missed appointments. Here is how it would go once this hare-brained idea was in place.
Women across the county would read their letter, and read that male mammographers were emoloyed, but that they could opt for a female staff member to do their mammogram.
Obviously lots of women would promptly opt for the female. They can be Group 1.
Simultaneously, multiple women: so, if you say you're okay with a man, my sister/cousin/best friend's personal trainer said you get seen faster and have a better choice of appointment times, but they don't even employ any men round here. She had a mammogram last year so she knows. We'll call them Group 2.
If you doubt me on this, read through the terrible advice people give each other on how to secure school places at sought-after secondary schools.
Another set of women would read the letter and think, "I'd prefer a woman, but I should leave the female employee for the women who really need a female. Besides, I'll be seen faster and have a better choice of appointment times. Besides, I'm overdue for my mammogram, so it's for the best". That's Group 3.
Another group of women would read the letter, picture a really kind professional male HCP and confidently conclude that they would be fine with a male doing the procedure. That's Group 4.
Personally, I can certainly say there are male HCPs I would trust to do a mammography, if they were trained to do so, but due to their inherent decency, none of those men would ever pick mammography as a speciality. What kind of man would pick it? Is it a man I would be comfortable with alone in a portakabin, while partially undressed? Is it a man other women would feel safe with while alone?
Now what happens when women from Group 2, Group 3 and Group 4 discover that they have been allocated to a male mammographer, and moreover, he looks a bit creepier than they imagined?
We'll have a big increase in non-attendance, and of the women who do attend, a startling amount won't go through with having the mammogram.
Just have the profession as female-only. Please.