In brief, is it permissible for the husband to delegate the matter of divorce to his wife after consummation, and can the wife stipulate her delegation of divorce after marriage, with this delegation not being revocable later?

The cohabitation nullifies the delegation, and the husband's revocation is not limited to before cohabitation; rather, scholars have differed on the permissibility of his revocation in principle. The majority of scholars permit the delegation of divorce both before and after cohabitation. There is a difference of opinion as to whether empowering the wife to divorce herself is limited to the session [in which the delegation occurs] or remains with her until she decides. Many scholars have favored its remaining with her as long as she has not decided or cohabited. If she has cohabited, her delegation becomes null, and cohabitation nullifies the delegation. Thus, she does not have the right to divorce herself after cohabitation, even if the husband has not revoked his delegation.