When someone is being insensitive to other's beliefs even though they are on the PC side of the argument.
Lebsian A: I can't believe that traditional Irish Catholic cottage we spend summers at won't let my gay friends get married there! I hope they go out of business and realize the folly of their ways.
Lesbian B. Stop being a Libigot, they don't care about you being gay, they just think of marriage differently then we do. There must be another cottage they can get married at. The cottage owners have a right to their opinions and beliefs just as much as we do.