“Protestant “churches” are after all daughters of the Catholic Church aren’t they.”
That makes you a daughter too. Go ahead now and deny being a Protestant. Let the usual Protestant anti-Catholic program tape begin.
I suppose you would have to define what Protestant means to you. To most people it would mean they align or belong to one of the Protestant organizations. I don't. If we wanted to play loose with terminology I suppose that given the Catholic Church claims they and the Muslims serve the same god would that make you a Muslim or them Catholics?