Jeri Kehn was a political media consultant at Verner, Liipfert, Bernhard and McPherson in the nation's capital when they married in 2002. She also previously worked for the Senate Republican Conference and the Republican National Committee.
The Wonkette site suggests that Kehn is a trophy wife. Commenter "Beansox" blasts Thompson's wife as a "gold-digger" and a "walking plastic barbie doll who spends more money on plastic surgery than they make in year". Perhaps it's the age difference since Thompson is 65 and Kehn is 40.
I don't see the problem with a photogenic first lady who also has a brain.