Is the divorce that occurred between the spouses considered Islamically valid, given that the husband did not utter the oath of divorce himself, but rather agreed to it verbally before the judge, and the divorce was judicially enacted without their presence?

If a woman requests a divorce and the husband agrees before the judge, and then the judge divorces her after some time, the divorce is valid. The husband's agreement to the divorce before the judge means he has authorized the judge, and whoever authorizes another to divorce gives the agent the authority to divorce, whether the principal is present or absent. The judge's authority is further extended in that he has the power to divorce if the wife is harmed and the husband refuses to divorce her. Therefore, if a woman receives a divorce decree from the court, there is no objection to marrying her.