Sony has been caught in that trap all year. It's been a no-win for them ever since it became clear what Feig was doing. By that time they were too far in with him to pull out.
Watch for the press narrative being shifted now. They will spend a week or so blaming the "angry nerds" for driving away the box office. That idea won't hold water very long. Eventually they will move to: "Okay, it sucks. The angry nerds called it right, but for the wrong sexist reasons."
Sony will put on a good face and back up Paul Feig for now.
But once the attention dies down I bet they won't roll the dice on him again. Not for another expensive or kid-rated show like this.