By law her signature must be on every marriage license issued in her county. She is not legally allowed to delegate that task to anyone else. She is simply following Kentucky law. She is not signing any marriage certificates. Technically since Kentucky's marriage laws are void, she really has no authority to issue any marriage licenses anyway.
Kentucky could change the law if they are so inclined.
You fight the fights that you can win now (immigration, economy), and fight for more when youre in a position to do so.