According to this story at FrontloadingHQ, it seems likely that the Kentucky Republican Party won’t use its presidential primary in 2020. Kentucky has been holding presidential primaries for major parties since 1976 (although it didn’t hold any in 1984).

The state recognizes the ability of a major party to tell the state not to hold a presidential primary for itself. In 2016, the Kentucky Republican Party also told the state not to hold a presidential primary for itself. That was because U.S. Senator Rand Paul was running for re-election, and the law did not permit him to be on the May primary ballot both for U.S. Senate and president. So to help him, the Republican Party canceled the 2016 presidential primary. It seems likely the Republican Party wants to cancel its 2020 primary in order to make it easier for President Trump to avoid having to worry about any challengers to him in a primary.

The Libertarian Party is also ballot-qualified in Kentucky, but it is not entitled to its own primary for president or any other office. Parties need to have polled 20% in the last election to have a government-administered primary.