No. You look weak if you allow W to push you around and 'demand' that you move out. I've seen situations where the WAS pushes the LBS out and install the OM/OW in their place.
We all tell the newbies here not to move out of their house. If the WAS is so unhappy, they should be the one to move out. Calmly tell W that she needs to be the one to move out if she's unhappy.