Is a waiting period (iddah) obligatory for a wife expelled from the marital home, whom her husband has not divorced, and between whom no conjugal relations have occurred throughout their separation, knowing that she is in the process of khulʿ (divorce at the wife's instance) and three menstrual cycles have passed for her?

The 'iddah (definition) (waiting period) for a woman who has initiated divorce (khul') or been divorced begins from the date of the divorce itself, not from the date of its procedures. The period the wife spent outside the marital home before the divorce is not counted, because the marital bond was still in effect during that time.