According to McIntyre:
All this without a local citizen filing a complaint against the judge, who is active in her Lutheran church, and without her ever being asked to officiate at a same-sex wedding.By example, a restaurant does not have to refuse service to be guilty of discrimination. All they have to do is to post a sign that says “we do not serve [fill in the blank].” It is discrimination per se if they are refusing, in advance, to serve a protected class.
Ms. Neely has done pretty much the same thing. In Wyoming, as a public servant, there are no religious exemptions to providing services. She is required to serve all people equally. Gays have a constitutional right to marry and she may not interfere with that right. If her religious beliefs take precedence over the law then she is not fit to be a judge. Not surprisingly the judge is represented by Alliance Defending Freedom which seems never to defend freedoms for LGBT citizens.