The point of the joke was
the other Democratic presidential candidate, John Edwards,That's what the line was about
it turns out you have to go into rehabwas weasling so she could later claim she never implied Edwards was a faggot.
They had no set up, she never mentioned PC, or explained the background, which would not have been obvious to people who don't follow chick TV shows.
Wrong. It was (inter)national news. Go to the back of the line.