I read it but wanted to give you another chance at comprehension. Because you are making like otto from a fish called wanda.
No, you are apparently pretending that the 14th Amendment, which was duly adopted according to the rules spelled out in the base document of the Constitution, is somehow less an integral part of the Constitution than the 10th Amendment. We don't get to pick and choose which amendments we like and which we don't like. All of the amendments are part of the Constitution.
Here is the oath she took:
“I do solemnly swear (or affirm, as the case may be) that I will support the Constitution of the United States and the Constitution of this Commonwealth, and be faithful and true to the Commonwealth of Kentucky so long as I continue a citizen thereof, and that I will faithfully execute, to the best of my ability, the office of _______ according to law; and I do further solemnly swear (or affirm) that since the adoption of the present Constitution, I, being a citizen of this State, have not fought a duel with deadly weapons within this State nor out of it, nor have I sent or accepted a challenge to fight a duel with deadly weapons, nor have I acted as second in carrying a challenge, nor aided or assisted any person thus offending, so help me God."
The duties of her office include issuing and recording marriage licenses. I fail to understand how she can be "adhering to the letter of" her oath when she refuses to carry out one of the basic duties of her office. How does the fact that the State of Kentucky hasn't enacted a law legalizing same-sex marriage become justification for not doing her job? Remember, that which is not illegal is legal. Kentucky's law was ruled to be invalid, therefore same-sex marriage is legal. It doesn't need a new law to say so.
She's wrong. She is violating her oath of office. I happen to agree with her religious opinion regarding same-sex marriage, but she took an oath to perform the duties of her office "according to the law." IMHO if she's not willing to do her job, she should resign.