No, but I think the language is quite clear. "...And if she divorces her husband
and marries another man,
she commits adultery..."
So, if an abused man or woman remarries after divorce, then yes, according to Jesus, it is adultery. That is why, in my faith tradition, divorce, while not encouraged in most cases, is technically allowed but remarriage after divorce without an annulment is absolutely not allowed. No easy ways out for those who just want what they want when they want it, while trying to deprive others of the same rights.
I did not make those rules, nor do I personally feel they are absolute. But you say that Kim Harris is not a hypocrite but she is selectively enforcing biblical rules if she is issuing marriage licenses to anybody who has previously been divorced. If enforcing a biblical view of marriage is truly a heaven or hell decision for her, then following the direct words of somebody central to her faith tradition would seem to be de rigueur. Otherwise, it's hypocritical hate.
I don't understand what your last sentence means, so I cannot reflect on that.
ETA: I did confirm that the Kentucky Marriage License application DOES ask about prior marriages and status, including "divorced" so the information is provided to her for her review and enforcement under her "biblical view of marriage."
http://chfs.ky.gov/nr/rdonlyres/584f6c35-f594-4275-95cb-0bc730b1c752/0/marriageregs.pdf