She isnt putting up with him , she is using him.
It isnt like she has to live with him or have sex with him. She see's him infrequently ate partis they both attend for political purposes, they smile for the camera's they accept money for Hillary's campaign or for Bill's speeches and they go their own way. Its all a part of the show.
Do you think they happy as a couple? You don't Hillary would want a relationship like that?