Dropping the dime on her with the company ombudsman wont change her -- he behavior isn't actionable. Her behavior is just like you say, unprofessional.

Start looking for a better job. When you interview DO NOT COMPLAIN ABOUT YOUR FORMER SUPERVISOR!

In the interview I don't know whether your boss was Attila or Jesus, but I hear you whining. I don't need an employee bad enough to hire a complainer. Not saying you are wrong or that she isn't a lousy boss, just that nobody wants to learn about your stinky undies.