On January 22, the Wyoming Republican Party state central committee met and chose three nominees to fill the vacancy in the office of the state’s Superintendent of Public Instruction. Because the Republican Party nominee for that office had been elected in 2018, and because that office is now vacant due to a resignation, state law says the Republican Party may choose three replacement nominees. Then, the Governor chooses one of them.
The party is being threatened with a lawsuit because it chose its three nominees under a system in which each county party had three votes, despite extreme population disparities between counties. See this story.
It appears they were following state law.
Texas has similar laws for filling vacancies in nomination.