Of course she broke the law, Herdman: it's against the law to defy an order of the court! She's also defying an order of the Governor of the Commonwealth of Kentucky. At the end of the day, what's really doing is old time, cheap politics: wrapping herself in the flag of an emotional political issue, unpopular amongst her base, and that has already been decided by the courts of the land (sounds like George Wallace) in an attempt to hold on to an elected office that her family has controlled for 70 years. She couldn't care less about the religious aspect of this case - she just wants the publicity and money that comes along with it.
She is sitting in jail over a religious belief. There could have been an alternative measure.
No reason to really jail her other than some activist judge making his point.