The most interesting race in Kentucky on Tuesday is probably the Democratic primary to challenge Representative Andy Barr, the Republican incumbent in the Sixth District. Amy McGrath, a former Marine fighter pilot running for office for the first time, defeated Mayor Jim Gray of Lexington, the district's largest city.

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Ms. McGrath went viral last year with a campaign ad that recalled how, as a woman, she had to fight to be allowed to serve in combat, then went on to become a lieutenant colonel. To those who told her a Democrat could not win in Kentucky, she said, “We’ll see about that.”

She has raised more money than Mr. Gray, but most of it has come from out of state. That could be a liability in the general election in Kentucky, where Republicans have a long history of tarnishing Democratic challengers by tying them to the national party.