"Inciting" a crime (in this case, suicide) is a crime in all fifty states. That Nancy incited her guest to kill herself will be the crux of the case before the court. I just don't see CNN winning this one.
She in no way incited this woman to do what she did.
BTW-If you and I were having a discussion on FR and I wrote something that offended you and incited you to kill yourself, would FR and I be sued by your family?