This hadith is narrated (from 'A'isha) on the authority of Ibn Shihab with the same chain of transmitters (and the words are): Safiyyah bint Huyayy, the wife of Allah's Apostle (ﷺ) , entered the period of menses at the occasion of the Farewell Pilgrimage after she had performed Tawaf Ifada in the state of cleanliness; the rest of the hadith is the same.