Sounds like someone is refusing to do their job and should be terminated:

New York’s gay weddings victory lap has not extended to all parts of the Empire State, with a rural town clerk determined to not sign any same-sex marriage licenses.

Barbara MacEwen, the town clerk in upstate Volney who is responsible for signing marriage licenses in the town, said she’s morally opposed to same-sex weddings and does not intend to affix her signature to any marriage documents for gay or lesbian couples.

“If there’s any possible way to not do it legally, then yes, I would not want to put my name on any of those certificates or papers,” MacEwen told POLITICO. “That’s their life, they can do it, but I don’t feel I should be forced into something that’s against my morals and my God.”

MacEwen said she’s written her state senator — Republican Patty Ritchie, who voted against legalizing gay weddings — to determine her legal options.

I’m sorry but the gays and lesbians in Barbara’s town have to pay taxes by law. Those taxes in turn help pay Barbara’s salary. Since Barbara is refusing to do her job, paid for in part by the people she wants to discriminate against, she needs to be fired. Refusal to do her job also means she won’t get unemployment and anyone calling for a reference on her should be told they would not hire her back. She would still be getting off easy compared to what would happen if the LGBT community refused to pay their taxes because of her.