They apparently are - and where her county is located, there are quite a few other clerks offices in closed proximity. So all of these news stories about her supposedly putting people’s lives on hold are false as they could have easily, and immediately, gotten the licenses. They were simply bent on getting her personally to issue the licenses for some reason.
There being other clerks is besides the point. Just like there are other bakers, photographers, etc. The homos target people they know will react negatively against them. Look at all the drama that has ensued.