TheBoost said:

I believe there are extensive rules about under what conditions a doctor can refuse to see a patient. Much of it falls under the same laws that dictate that a restaurant owner can't keep all the colored folk out.

My understanding was wrong. Apparently a doctor can use his power to enforce his religious morallity on others.

As long as the other is a woman.

I doubt a Jehovah's Witness doctor would be allowed to refuse to perform a blood transfusion (against his religion).