Therefore, it seems to me that:
Emergency room docs and nurses don't have to treat patients whose lifestyles or beliefs they disagree with.
Teachers don't have to teach those students.
Mailmen don't have to deliver that mail.
Busdrivers can refuse service to unmarried pregnant women.
Carpenter, electricians, plumbers, drywallers, painters can all refuse to work on homes occupied or potentially occupied by gays/Muslims/Jews/Republicans/Democrats- chose your group.