Just to clarify, wasn't your W (or maybe still is) involved in an EA?
Did you start calling her out on her show of disrespect when she was still living with you? Not that it's too late, I'm just trying to get a better picture. Is this email the first time you've actually approached her on the subject of her showing disrespect toward you?
It is not about what you feel should work in your M. It is about doing the work that gets the right results. Do what works!