@Li @The_Whore_of_Blahbylon @LunaDragofelis Let me put it like this: it's called being professional.
My dad knows Russian but doesn't speak it because, as he put it, he grew up in a place where Russian was the required first foreign language.
How do I know he knows Russian? Because when he switches into "doctor mode," I've heard him a couple of times speaking Russian to patients over the decades.
When he practices, he's a professional, and he leaves his personal opinions off.
Now, the original post is correct; medical professionals need to provide help in situations that might conflict with their personal beliefs.
OTOH, that does not mean that they need to seek such situations; my dad, e.g., as a Catholic, does not provide anesthesia for abortions. It does not keep him from having OB/GYNs as friends who provide these services; he just does not seek planned procedures. Wouldn't keep him from providing emergency life-saving measures. Etc.