As far as sexism, nope. I just don't like the sound of her voice. If I don't like something I don't listen to it. Seems pretty simple.
Tempo is oblivious to a lot of life's details, but also defaults to scathing moral judgments. It's not an unusual combo, just trying.
Women who don't have low-pitched speaking voices don't make it past 30 in broadcasting. People don't react positively to higher pitches. Steve Bardo has a harsh voice, and a lot of people don't like it. But he's not on the air for his voice. Contrast Dave Revsine or Jim Nantz. Warm baritones.
I'd never heard this lady, so I watched a clip. She has a low-pitched voice, which is why she made it past 35.
Her voice is also riddled with Chicagoisms. I guess it works there, but I can see how it'd be irritating, too.