I don't understand why this is even allowed. If someone had a religious opposition to consuming or enabling the consumption (cooking, serving, etc) of certain foods -- shellfish, pork, sweets during lent, meat in general, whatever -- that person could not reasonably expect to get a job in a restaurant where that food is regularly served. Like, if a waiter showed up for work at a steakhouse one day and refused to touch any plate with meat on it on religious grounds, no one would be on that waiter's side when there are vegan restaurants that waiter could have applied to instead.
Doctors are held to a different standard because... the mental gymnastics say it's totally fine when it's a woman being denied service I guess?
If these healthcare "professionals" only want to treat men like they deserve humane care, they should be in a field more suited to their preferences.
Failing that, yes, I agree with your comment entirely.