Anyways just looking for some thoughts on the matter.
My thoughts are this- can you really not afford the private schooling or are you refusing to pay extra just to punish your W? If you can't afford it then that's fine, but if you can, then do what is right for your D. Your W is ranting and raving as a form of blackmail I'm sure, and that is petty and immature of her. Nevertheless, this is more about your D then it is about your W.