More KRS statutes. This one caught my eye:

402.990 Penalties
(10) Any county clerk who violates any of the provisions of KRS 402.110 or 402.230
shall be guilty of a violation.

402.110 says the clerk must make sure the license is completely filled per state requirements.

402.230 says the clerk must ensure the marriage license and certificate are properly filed, and the marriage duly recorded.

In my non-lawyerly opinion, 402.110 suggests the license cannot be altered in any way. Likewise, regardless of who signs the license, Davis as the clerk has to ensure the marriage is filed and recorded. If she refuses to “authorize” SSMs, she’s in violation of state law.