East of Eden pt. 7

The next 50 pages (pgs. 225-275) of East of Eden focused on two things: Cathy aka Kate's life at the whorehouse, and Adam's life after Cathy left him. Cathy's departure left Adam stunned and he became almost a zombie because he never did anything and he never cared for his twins. Lee, Adam's servant, called Samuel and he paid Adam a little visit and knocked some sense into him *insert evil laugh*. Finally, after Adam started acting normal again, they helped him name his sons (they DIDNT have names! lol). They named the boys Aron and Cal (BIG shocker.....NOT!). Meanwhile, Kate managed to manipulate Faye and then killed her (again, BIG shocker......NOT!). As a result, she became the owner of the whorehouse.

Question: Will Kate (Cathy, whatever she's called) ever be beaten down? Who will do it?