Is a wife obligated to continue boycotting her brother in obedience to her husband who rejects her brother-in-law?

The wife is not obliged to obey her husband if he commands her to sever ties with her kin, because there is no obedience to a creature in disobedience to the Creator.

However, if he only forbids her from going out to visit her brother, then she must obey him. She can still maintain kinship ties through other means, such as by calling him.

Therefore, it is not permissible for the wife to cut ties with her brother in obedience to her husband.

The wife is advised to counsel her husband towards forgiveness and pardon, for the best of Muslims is he who initiates the greeting.