Is it permissible for the wife to request divorce after taking half of the Mahr, without reasons that condemn the husband, and with the husband desiring to complete the Mahr?

A wife's mere request for divorce is not considered an act of defiance (nushooz). It is not permissible for a woman to seek divorce without a valid, recognized شرعي (Shar'i) excuse, and the husband is not obligated to accede to her request. Rather, he should advise her and remind her of Allah. It is permissible for the husband to refuse to divorce her until she ransoms herself with money or waives her Mahr (dowry), knowing that the wife taking a portion of her Mahr does not affect the permissibility of her requesting a divorce.