Kentucky law prohibits marriage between members of the same sex. The U.S. Supreme Court has no constitutional authority, none, to overrule that law. Indeed, it is the Supreme Court that is violating the Constitution.
Ky. Rev. Stat. 402.020(1)(d) Marriage between members of the same sex is prohibited and void
http://www.lrc.ky.gov/statutes/statute.aspx?id=36466