Without looking into it (and I'm not going to bother), I think she's trying to say that Kilgore's cousin got in some kind of trouble. I think "fell ill" isn't to be taken literally.
But who cares? Lots of people have relatives -- especially extended -- who do bad things and get themselves into trouble. You can only control your own actions and whom you choose to associate with. You can't control it if certain members of your family suck.
Anyway, as is being popularly expressed on the forum here, nobody is understanding this. While the initial news about Kilgore was worth noting, the bottom line is that she apparently hasn't harmed anyone on PFA or even in poker, and even her crimes seem to have been against large companies such as banks and cell providers. So her troubles are a non-story beyond "Kilgore wasn't quite what she portrayed herself to be". She doesn't deserve nonstop ridicule here, especially since she has left the forum anyway.