Why on earth is she intruding on your family time?
I'd be blocking OWs Skype - if it is one their dad uses to communicate I would block during my time and unblock when I'm expecting a call.
I am glad she is not being unkind - she is still being manipulative as hell.
Deep breaths - this would bother me too but you can't let it get to you. Your DD is awesome and anyone IS lucky to be a part of her life.