But this isn’t a car–you are in pain, exhausted, suffering, and your physical and mental condition is perhaps deteriorating–and you’re supposed to be making multiple appointments to talk to multiple people about it and then weighing all the different answers you get before it’s possible to start appropriate medical treatment?

Any delay can have very serious, permanent consequences.
I feel like, given that the moral theology principles are pretty simple, it shouldn’t look like that. There are genuinely difficult bioethics situations, but this is not one of them. It’s really not that hard. If birth control pills are the easiest, cheapest, least invasive, safest method to control particular gynecological problems and the least likely to permanently destroy fertility, then that is the right solution.