You seemed concerned about female elected officials:
Sebelius is the second female governor.
She was the Insurance commissioner (this is a statewide elected office) for 8 eight years before being governor. She won that election in the horrible republican year of 1994. Before that she was a state legislator for a district in Topeka.
The first female governor was Joan Finney (D) 1990-1994.
We had a female senator for about 12 or 18 years: Nancy Landon Kassebaum (R). She was very popular amongst both Republicans and Democrats. She would fit into the category of something like Lincoln Chafee, Olympia Snowe, Jim Jeffords, Dwight Eisenhower, etc.
There have been quite a few elected statewide offices held by women.
I do not see a bias against electing woman to statewide office in Kansas. In some ways, they seem to have a bit of an advantage in that they are generally viewed more favorably than male candidates.
Hillary Clinton, however, is not viewed favorably.
The state is overwhelmingly republican. But even overwhelmingly republican states, given the right candidate and right circumstances, will elect democratic candidates, just as Massachussetts elects republicans.
Kansas registration is about like this:
25% unaffiliated and others (do not assume that these voters lean Democratic)