Is the wife entitled to receive the deferred dower (mahr) in the event of divorce, despite her mistreatment and lack of cohabitation, taking into account that the wife was aware of the husband's financial and military circumstances before marriage, and the deferred dower was agreed upon at a specific amount?

The deferred dowry became fully your responsibility upon consummating the marriage with your wife. Her ill-treatment does not permit you to withhold her right. You both must live together in kindness. Either you keep her with kindness and treat her as a disobedient wife if she is such, or you divorce her and pay her immediate and deferred rights if their due time has come.