There are currently 10 women serving in the Utah House of Representatives and 6 in the state senate. Together they make up 15% of the 104 elected state legislators. This puts Utah in the bottom 10 states for percentage of women represented in the state legislature.
There are a lot of reasons for the disparity between men and women serving as elected state officials, but according to Katie Ziegler with the National Convention of State Legislatures, none of them has to do with electability:
Women are only mentioned in the Constitution once: in the Nineteenth Amendment which grants women the right to vote. In 1923, suffragists proposed an amendment that would protect women’s rights across the board, but when the vote came to Utah, it was blocked by the Mormon Church.