The Hill's Sam Youngman has a fine profile of Kansas Gov. Kathleen Sebelius. Here's an excerpt:

And while others acknowledge that Sebelius could help Obama shore up any lagging support from female voters following the prolonged and at times bitter nomination fight against Sen. Hillary Rodham Clinton (D-N.Y.), they also acknowledge that the governor would do little to help Obama bolster his national security credentials.

Despite her weaknesses, Obama is clearly a fan, telling a Missouri television station this week that he loves Sebelius.

Which I think is the reason Obama shouldn't pick her. The desire for a woman on the ticket is strong in the party, but unfortunately there are few women (with the obvious exception) who have the national-security heft Obama needs at this moment.