I see a double standard here. When Jimmy Swaggart was caught playing with himself in a motel room while a hooker aroused him, his ministry was rendered irrelevant from that time on.
Jesse Jackson does way more than that, actually committing adultery and fathering an illegitimate child, and still keeps going and going and going, like the Energizer bunny. Shut up, Jesse!
It's so simple: Jesse doesn't PREACH against adultery. Jesse is pro-abortion. Thus, he can do ANYTHING in his private life, and his "ministry" is unaffected.