SPOILER:
Wyoming is one of those pesky states that had marriage defined in its code of laws. They do not have a gay marriage ban: what their Title 20 states is "A marriage is a civil union between a man and a woman." Which implicitly prevents men from marrying one another. In 2003 Wyoming attempted to get a DOMA-type law passed, and it failed, in which Wyoming could refuse to recognize gay marriages from other states. So at the time of this story, no, Wyoming does not have a gay marriage ban - but its definition of marriage would make Wes's license - if he files it - invalid, if it were to be discovered that both parties on the license are male. However, despite the passage of the gay marriage ban in California, the mayor of San Francisco issued marriage licenses to gay couples in defiance of the law. When a public official defies a law, it becomes a very powerful symbolic act of empowerment. (Which of course was the whole idea of this chapter.) Edna is going to strongarm "Brownie" into giving their nearest and dearest the most powerful symbolic empowerment they could offer them.