I doubt it. She is in the wrong. I disagree with her going to jail, but she should be fired if she doesn't quit because she is not fully performing her job.
I addressed this above. She can't be fired because she is an elected official. I gather she can be impeached but the judge can't do that.
The judge actually didn't want to jail her. He offered her a compromise of having her deputies handle same sex marriages, and five of her six deputies -all except her son- stated they were willing to hand out marriage licenses to same sex couples. SHE turned down this compromise.
So, she refuses to quit and she refuses a compromise. She puts herself above the law she is sworn to uphold by claiming that God's law is above the Constitution. The judge had literally no other choice but to put her in jail.
Of course, if she could produce a recording of her conversation with God when Gold told her to not hand out marriage licenses to same sex couples, I know I'd repent and I'm sure the judge would as well.