Is the deferred mahr considered a debt that prevents pilgrimage before its repayment, and is it permissible to perform Hajj while having long-term debts?

The remaining mahr (dowry) is a debt owed by the husband. If he has immediate debts that he cannot afford to pay, and also cannot afford the expenses of Hajj, then he must prioritize paying his debts first. In this case, Hajj is not obligatory for him due to lack of ability (istita'ah), as settling debts is an obligation that involves the rights of others. However, if the creditors allow him to prioritize Hajj, he may do so. But if the debts are not immediate, or are installments whose payment will not be affected by his travel for Hajj, then Hajj becomes obligatory for him if he has not yet performed the obligatory Hajj of Islam.