They can both hold the sale up as long as they like.
She is entitled to take anything she wants - she does not have to ask permission.
She should also still be paying her half of the mortgage (this keeps things simple if god forbid this turns into a long protracted argument)
I would also move back in If I were her (if she can stomache it) - if he moves out, rent out spare room to cover the mortgage he may or may not pay.