Only if it is necessary for the physical health of the woman.
I would consider that requirement the same as outlawing human sacrifice say.
If we were to EVER see that law passed our health system in this country would be wildly and severely fucked. A rather large percentage of our hospitals are owned and operated by the Catholic church and imho they will never perform them. If that means shutting down all of their hospitals in the US, I would personally wager they would before they started performing abortions. For the record, their hospitals also provide some of the very best care in the nation as well.
And personally, even though I disagree with them on the stance, I wouldn't blame them one bit. They aren't trying to restrict anyones access to anything (well, they do support legislation to but not in the scope of this discussion), they simply refuse to do it themselves. I see nothing wrong with that, sort of like a doctor who refuses to administer the lethal injection, he should not be forced to do so either.