The doctors have a choice, they can defer the abortion to another doctor who will perform it.
now they can. with no law to protect them, it's called refusal of services and they can be sued and/or fired.
The patient doesn't have a choice if the pharmacist refuses to fill the prescription
even the dinkiest backwater town that i have been in, has more than one pharmacy or pharmacist there or close. that is a poor excuse for forcing someone to do something that is against their conscience.