Is it permissible to communicate with the mother through a third party to avoid divorce after the husband swore, in a moment of anger, not to speak to her?

If a husband swears an oath of divorce that his wife should not speak to her mother, then if he intended to sever the relationship with her mother completely, divorce occurs whether the wife speaks to her directly or through an intermediary. However, if he intended only direct speech, then divorce does not occur if she speaks to her through an intermediary. If he had no specific intention, there is a difference of opinion. The correct view is that speaking through an intermediary is not considered actual speaking.

It is important to note that maintaining ties with one's mother is obligatory, and it is not permissible to abandon her for fear of divorce, as divorce is permissible.

If divorce occurs, your husband can take you back if this divorce is not the completion of three divorces. Sheikh Al-Islam Ibn Taymiyyah held the view that an expiation for an oath (kaffarat yamin) is due if the husband did not intend divorce, or if he retracted his oath.

The divorce of an enraged person does not occur if his anger is so severe that he is unaware of what he is saying.

It is advisable to consult with scholars or a Sharia court to determine the specifics of the case.