Is a divorce that occurs between a couple before a judge after the wife waives her rights considered khulʿ (divorce at the wife's instance) or a [regular] divorce, and in this case, does the woman observe an ʿiddah (waiting period) of one menstrual cycle or three menstrual cycles?

If a divorce is granted in exchange for the wife waiving her dowry (Mahr) and expenses, then this is a Khul'. There is a difference of opinion regarding the 'iddah (waiting period) of a woman who undergoes Khul'. Some jurists believe it is three menstrual cycles, which is the view of the majority. Others believe it is one menstrual cycle, and this was chosen by Sheikh al-Islam Ibn Taymiyyah. It must be noted that it is not permissible for a woman to seek a divorce without a legitimate Sharia reason. If she requests a divorce without a legitimate Sharia reason, the husband may refuse to divorce her until she ransoms herself from him with money. Both spouses should strive for family stability and resolve problems wisely.