Sure she is being compelled to participate OR suffer a negative consequence - although it is the Court that is doing the compelling and the State of Kentucky is the one requiring the clerk to do something unnecessary and deeply offensive to her conscious.
In this regard, whether it is a County Clerk or the Muslim Flight Attendant who was fired, they are being compelled to participate, in their view, a deeply offensive act or suffer dire results. That does not mean they should not suffer those results (e.g. termination), but let's not pretend that compulsion is not an element.
Second, the act of issuing marriage license to gays is NOT unnecessary, it is a required part of her job. Something she is being paid to do. Until the State of Kentucky removes the requirement for the Clerk to sign off on marriage licenses, it is very much a necessary part of her job.
You misunderstand, what is unnecessary is her initial and continued jailing. There were/are other means to attain the ends of marriage licenses.
This isn't very hard to understand.
Muslims rioted and killed people because non-Muslims were drawing pictures of Mohammed. If your religion tells you not to draw pictures of Mohammed, then
you don't draw pictures of Mohammed. If you try to stop other people from drawing pictures of Mohammed, you are imposing your religion on them.
Some years back, there was a riot in Israel. Jews were rioting because non-Jews were driving on Saturday. If your religion tells you to not drive on Saturday, then
you don't drive on Saturday. If you try to stop other people from driving on Saturday, you are imposing your religion on them.
Some Hindus in India get offended when non-Hindus eat beef. Again, if your religion tells you not to eat beef, then
you don't eat beef. If you try to stop other people from eating beef, you are imposing your religion on them.
Worse, your Christian heroine deliberately broke the law in order to impose her religion on others.
If Islam requires Muslims to stop non-Muslims from drawing pictures of Mohammed, then Islam is wrong.
If Judaism requires Jews to stop non-Jews from driving on Saturdays, then Judaism is wrong.
If Hinduism requires Hindus to stop non-Hindus from eating beef, then Hinduism is wrong.
See the pattern here, Max?