By Allah, the Messenger of Allah ﷺ did not make Aisha perform umrah during Dhul-Hijjah but to discontinue the practice of the idolaters (in Arabia before Islam), for this clan of Quraysh and those who followed them used to say: When the fur of the camel abounds, and the wounds on the back of the camels are recovered and the month of Safar begins, umrah becomes lawful for one who performs umrah. They considered performing umrah unlawful till the months of Dhul-Hijjah and al-Muharram passed away. (Using translation from Abū Dāʾūd 1987)
وَاللهِ مَا أعْمَرَ رَسُولُ اللهِ ﷺ عَائِشَةَ فِي ذِي الْحِجَّةِ إِلَّا لِيَقْطَعَ بِذَلِكَ أَمْرَ أَهَلِ الشِّرْكِ فَإِنَّ هَذَا الْحِيُّ مِنْ قُرَيْشٍ وَمَنْ دَانَ دِينَهُمْ كَانُوا يَقُولُونَ إِذَا عَفَا الْوَبَرْ وَبَرَأَ الدَّبَرْ وَدَخَلَ صَفَرْ حَلَّتِ الْعُمْرَةُ لِمَنِ اعْتَمَرْ وَكَانُوا يُحْرِمُونَ الْعُمْرَةَ حَتَّى يَنْسَلِخَ ذُو الْحِجَّةَ وَالْمُحَرَّمُ