Pete Hegseth is a veteran who became famous as a Fox News host. Now he's Trump's nominee for defense secretary.Slaven Vlasic/Getty ImagesIt's not surprising to see Donald Trump pluck another Fox News personality for his cabinet.But some people still seem surprised to see Trump nominate host Pete Hegseth as defense secretary.It's a reminder that while Twitter — and Elon Musk — are influencing Trump, he is also a very, very big TV guy.Earlier this week, I wondered how much Twitter was going to influence the next Trump administration — and how much influence we'd see from TV, which was tremendously important the first time around.Here's one clue: Trump has just nominated Fox News host Pete Hegseth to be his secretary of defense.