“Her order owns their real estate. The deeds are in their name. They could get kicked out of the church but not off of their properties.”
I’d imagine the superiors of the orders would be the only ones to have a say about those things. Since the orders are only allowed to operate with the permission of the ordinary of the diocese, I don’t see the superiors wanting to press this issue; many of their properties (and they have nice ones up along the Hudson River here) could become taxable if they aren’t being used for religious purposes.
I am sure there are ways to dodge this. They probably could apply as a nonprofit.