Is the husband obligated to fulfill his wife's request to own a house and stay in her country, leaving his country where he has settled, knowing that she will ask for a divorce if he does not comply, even though their previous decisions were by agreement and mutual consent, and she loves him very much and he loves her too, but she has a sharp temper and leaves the house without his permission? And is this request considered incitement from a third party?

A wife must obey her husband in moving with him wherever he wishes, as long as she is safe and he provides her with suitable housing. It is not a condition for the housing to be owned by the husband; it is sufficient for him to possess its usufruct through rent or loan. Consequently, your wife does not have the right to refuse to move with you, and you are not obligated to buy housing for her. However, if you wish to comply with her request, there is no harm in doing so if you see benefit in it.