This is a contrived lawsuit: the clerk didn’t refuse , the couple ‘didn’t want to wait’. Therefore , there was a legal accomodation to protect the rights of the gay couple , as well as the clerk.
Well, she did refuse, and there's no getting around that. Second, I'm not sure how this protects the rights of the gay couple. If another coupple, heterosexual, were to walk in and had the document signed, while the gay couple was waiting, would you consider that equal treatment under the law.
That said, How far does ths priciple extend. If signing or stamping the document is equivalent to moral acceptance, then what about the office itself. How does she morally distance herself from that.