My first real-world contact with this kind of issue came when I tried to find a new Ob/Gyn when I moved to Milwaukee from Philadelphia. Went through the list of doctors on my health insurance plan, picked one close to home, called for an appointment. It wasn't until three stages past that initial call that the attending nurse told me that my brand-new shiny Ob/Gyn wouldn't prescribe birth control, if that was what I was there for.

"Huh," I said. "Is that because of religious reasons?"
"Yes. She's very devout."
"Okay, then. Please cancel my appointment."

They tried to convince me that she was a good doctor, really, and since I was just there for a regular check-up, it shouldn't be a problem, but I countered by saying that I really wasn't interested in finding out what else she might judge me about in the future. When they informed me that I'd have to pay for the appointment anyway because I hadn't cancelled more than 24 hours in advance, I told them that I certainly wouldn't, because I wouldn't have booked the appointment at all if they'd been up front about the fact that the doctor wouldn't actually give me the services I needed, and if they sent me a bill, I'd send it to a lawyer.

I never did get a bill.

I was a sheltered flower in liberal East Coast land, I tell you.