Is this fair?

[Angrboda]

The photographer has every right to refuse a gig. Imagine he was a black photographer and a KKK group asked him to shoot their annual cross burning.
As much as I despise homophobes, he should have the right to decline any job he wishes.

This question also comes up in more serious contexts where religious beliefs conflict with the delivery of medicine and medical services. The case of whether a pharmacist can refuse to fill a prescription for birth control pills, whether a pharmacy should be required to do so despite objections of its owners, and whether religiously owned hospitals should be required to offer full services, including abortion, contraception, and other reproductive services, regardless of whether or not it conflicts with their religious beliefs.