Sauda (the wife of the Holy Prophet) who was bulky sought the permission of Allah's Messenger (ﷺ) on the night of Muzdalifa to move from (that place) ahead of him and before the multitude (set forth). He (Allah's Apostle) gave her the permission. So she set forth before his (Holy Prophet's) departure. But we stayed there until it was dawn and we moved on, when he departed. And if I were to seek the permission of Allah's Messenger. (ﷺ) as Sauda had sought permission, I could have also gone with his permission and it would have been better for me than that for which I was happy.

Asma' (Allah be pleased with her), as she was in the house at Muzdalifa, asked me whether the moon had set. I said: No. She prayed for some time, and again said: My son has the moon set? I said: Yes. And she said: Set forth along with me, and so we set forth until (we reached Mini) and the stoned at al-Jamra. She then prayed in her place. I said to her: Respected lady, we set forth (in the very early part of dawn) when it was dark, whereupon she said: My son, there is no harm in it; Allah's Apostle (ﷺ) had granted permission to women.

Ibn Shawwal (the freed slave of Umm Habiba) reported that he went to Umm Habiba (the wife of Allah's Apostle) who informed him that Allah's Apostle (ﷺ) sent her from Muzdalifa during the night.

Allah's Messenger (ﷺ) sent me from Muzdalifa ahead (of the caravan) along with the luggage or with the weak ones during (the latter part of the) night.