Quote from Rose_Queen
I would recommend speaking with your religious leaders. Many religions have exemptions about working on holy days for staff in areas like healthcare where it simply isn't possible to close up shop.
I've always said you don't hear about hospitals in Israel shutting down before sunset on Friday, or Catholic hospitals kicking all the patients out on Saturday night and letting them back in on Monday
I would start by talking with your religious leaders first. Don't go by what family/friends/rumor says what your religion dictates. Talk to your priest/rabbi/minister/etc. You'll find that most religions will make accommodations for you...though what exactly those accommodations will be, will be determined between you and him/her/them.
Your workplace may also be willing to accommodate your schedule, though a lot of that depends on the workplace. Private practices and clinics will probably be easier to work with than acute care facilities that run 24/7.
And IMO, "saving a life" and "life or death" doesn't necessarily mean only the drastic measures. I would consider that providing necessary treatment to prevent a patient's condition from deteriorating or to keep them safe from themselves (I am in psych, after all) as a form of saving one's life. But that's me.