كتاب الحج
15  
The Book of Pilgrimage
(49)
Chapter: It is recommended to send the weak among women and others ahead from Al-Muzdalifah to Mina at the end of the night, before it gets crowded, but it is recommended for others to stay there until they have prayed Subh in Al-Muzdalifah
(49)
باب اسْتِحْبَابِ تَقْدِيمِ دَفْعِ الضَّعَفَةِ مِنَ النِّسَاءِ وَغَيْرِهِنَّ مِنْ مُزْدَلِفَةَ إِلَى مِنًى فِي أَوَاخِرِ اللَّيَالِي قَبْلَ زَحْمَةِ النَّاسِ وَاسْتِحْبَابِ الْمُكْثِ لِغَيْرِهِمْ حَتَّى يُصَلُّوا الصُّبْحَ بِمُزْدَلِفَةَ
Sahih Muslim 1291 b

This hadith has been narrated by Ibn Juraij with the same chain of transmitters, and In his narration (the words are):

" She (Asma') said: My son, Allah's Apostle (ﷺ) granted permission to women."
وَحَدَّثَنِيهِ عَلِيُّ بْنُ خَشْرَمٍ، أَخْبَرَنَا عِيسَى بْنُ يُونُسَ، عَنِ ابْنِ جُرَيْجٍ، بِهَذَا الإِسْنَادِ وَفِي رِوَايَتِهِ قَالَتْ لاَ أَىْ بُنَىَّ إِنَّ نَبِيَّ اللَّهِ صلى الله عليه وسلم أَذِنَ لِظُعُنِهِ ‏.‏
Reference : Sahih Muslim 1291b
In-book reference : Book 15, Hadith 327
USC-MSA web (English) reference : Book 7, Hadith 2962
  (deprecated numbering scheme)