What is the ruling on swearing to forbid one's wife if she enters social media sites except to speak with her husband or her brother, or if she wishes to speak with her mother? And what is the Sharia ruling regarding divorcing her for not obeying him in several matters, and do her rights, such as the deferred dower, fall away?

If a husband swears to prohibit his wife if she speaks to anyone other than his brother online, and then she speaks to her mother, he breaks his oath unless he intended for her mother not to be included in his oath, or if the reason for the oath was his fear of her corruption. In this case, there is no breaking of the oath if accessing the site was for the purpose of speaking to her mother, as the general context is the reason for the oath.

In the event of breaking the oath, his intention behind the prohibition is considered: if he intended divorce, then it is a divorce; if he intended ẓihār, then it is ẓihār; and if he intended an oath by Allah or did not intend anything specific, then he must pay the expiation for an oath.

The husband has great rights over his wife, including her obedience to him in matters that do not involve disobedience to Allah. Divorcing her for not obeying him does not nullify her rights, such as the deferred dowry and mutʿah (compensatory gift).