Only my opinion, but I can see 2 reasons she would want him to go back to work.
1. That left her to control the situation without him hanging around. Set up the game plan with KC and LA and keep dear old dad out of it.
2. It was his first day at work right? Based on what we now know from that last doc dump, Cindy was probably thinking "that ba$t@rd better not lose THIS job." I have a hard time feeling sorry for CA throughout any of this, but I can't imagine living with a man you hate for financially ruining you and knowing that it would be WORSE financially for you to kick his butt out!