Treat this person delicately and don't try to confront him. If you want something done, do it yourself. He won't go to bat for you or champion your cause. Be understanding and adapt if she decides make her own mark on the division. Let the new boss know what your expectations and goals are, and that you are dependable.
Communication is the key with a new boss.
When your boss is a bozo Don't upstage your boss or make her look stupid in public. It diminishes her power and control. If you disagree, pull your boss aside and speak in private. Allow your boss to keep face or she will bring you down. Don't go over your boss's head unless absolutely necessary.