qft
As I noted many pages of angst ago, if the hospital is the only one available and there is no other recourse for the patient then, unless there is no one competent to perform the operation, it would be an imposition upon the freedoms of the patient to deny her. By that same token, if there is only the one doctor available and he/she holds religious beliefs that prevent them from carrying out the abortion, then forcing them to do so is a breach of their freedoms too.
So where does the least harm lie? That should be the yardstick by which the medical practitioner measures their response. It's hardly a good position for them to be in as there is no good answer as far as they are concerned, for they will be doing harm one way or another whatever they choose.