This is a tree they didn't want to bark up... Seems the short version is they blame the First Dude for pushing for the firing, and Sarah didn't stop it. They are listing refusal to fire the trooper as a contributing factor.
It will distill down to this. Wooten is abusive, even to a kid He is also found to have other conduct issues. Monegan refuses to fire this potential threat to personal safety, therefore the Governor did her job, and fired Monegan.