Abdullah, the freed slave of (Hadrat) Asma', reported: 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. 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."

حَدَّثَنَا مُحَمَّدُ بْنُ أَبِي بَكْرٍ الْمُقَدَّمِيُّ، حَدَّثَنَا يَحْيَى، - وَهُوَ الْقَطَّانُ - عَنِ ابْنِ جُرَيْجٍ، حَدَّثَنِي عَبْدُ اللَّهِ، مَوْلَى أَسْمَاءَ قَالَ قَالَتْ لِي أَسْمَاءُ وَهْىَ عِنْدَ دَارِ الْمُزْدَلِفَةِ هَلْ غَابَ الْقَمَرُ قُلْتُ لاَ . فَصَلَّتْ سَاعَةً ثُمَّ قَالَتْ يَا بُنَىَّ هَلْ غَابَ الْقَمَرُ قُلْتُ نَعَمْ . قَالَتِ ارْحَلْ بِي . فَارْتَحَلْنَا حَتَّى رَمَتِ الْجَمْرَةَ ثُمَّ صَلَّتْ فِي مَنْزِلِهَا فَقُلْتُ لَهَا أَىْ هَنْتَاهْ لَقَدْ غَلَّسْنَا . قَالَتْ كَلاَّ أَىْ بُنَىَّ إِنَّ النَّبِيَّ ﷺ أَذِنَ لِلظُّعُنِ .