Assuming you are an adult that can live separately from your parents. I don't understand your post. This is what I read, your father used to pay yours and your fiancee's rent, but now he isn't. She doesn't pay rent, but spends her own money in a way your father feels isn't responsible enough so he is giving you both some options. Your father is not controlling her, if he paid and provided a place, you both should be more respectful and appreciative of that

Your father has no obligation to pay or provide for you and your fiancee's housing. You both are partners now and have to pay for and find your own place. You mother (and father) can still meet her parents, even if there is this disagreement. With growing up comes responsibility