The Messenger of Allah ﷺ said to AbdurRahman: AbdurRahman, put your sister Aisha on the back of the camel behind you and make her perform umrah from at-Tan'im. When you come down from the hillock (in at-Tan'im), she must wear (ihram for umrah), for this is an umrah accepted (by Allah).  

أَنَّ رَسُولَ اللَّهِ ﷺ قَالَ لِعَبْدِ الرَّحْمَنِ يَا عَبْدَ الرَّحْمَنِ أَرْدِفْ أُخْتَكَ عَائِشَةَ فَأَعْمِرْهَا مِنَ التَّنْعِيمِ فَإِذَا هَبَطْتَ بِهَا مِنَ الأَكَمَةِ فَلْتُحْرِمْ فَإِنَّهَا عُمْرَةٌ مُتَقَبَّلَةٌ  

The Messenger of Allah ﷺ said to AbdurRahman: AbdurRahman, put your sister Aisha on the back of the camel behind you and make her perform umrah from at-Tan'im. When you come down from the hillock (in at-Tan'im), she must wear (ihram for umrah), for this is an umrah accepted (by Allah). (Using translation from Abū Dāʾūd 1995)   

أَنَّ النَّبِيَّ ﷺ قَالَ لِعَبْدِ الرَّحْمَنِ بْنِ أَبِي بَكْرٍ «أَرْدِفْ أُخْتَكَ يَعْنِي عَائِشَةَ وَأَعْمِرْهَا مِنَ التَّنْعِيمِ فَإِذَا هَبَطْتَ مِنَ الْأَكَمَةِ فَمُرْهَا فَلْتُحْرِمْ فَإِنَّهَا عُمْرَةٌ مُتَقَبَّلَةٌ»  

[Machine] The Prophet ﷺ said to him, "Marry your sister Aisha, and treat her with kindness and generosity. When her menstrual cycle comes, let her refrain from intimate relations. Indeed, it will be a accepted form of worship." Its chain of narrators is strong.  

أَنَّ النَّبِيَّ ﷺ قَالَ لَهُ «أَرْدِفْ أُخْتَكَ عَائِشَةَ فَأَعْمِرْهَا مِنَ التَّنْعِيمِ فَإِذَا هَبَطَتِ الْأَكَمَةَ فَمُرْهَا فَلْتُحْرِمْ فَإِنَّهَا عَمْرَةٌ مُتَقَبَّلَةٌ» إسناده قوي  

"يَا عَبْدَ الرَّحْمَنِ: أَرْدِفْ أُخْتَكَ عَائِشَةَ فَأعْمِرْهَا مِنَ التَّنْعِيم، فَإِذَا هَبَطتَ بِهَا مِنَ الأكمَةِ فَمُرْهَا فَلتُحْرِمْ؛ فَإِنَّهَا عُمْرَةٌ مُتَقَبَّلَةٌ".  

"عَنْ حَفْصَةَ بِنْتِ عَبْدِ الرَّحْمَنِ بْنِ أَبِى بَكْرٍ الصَّدِّيقِ، عَنْ أَبِيهَا أَنَّ رَسُولَ الله ﷺ قَالَ لِعَبْد الرَّحْمَنِ بْنِ أَبِى بَكْرٍ: أَرْدف أُخْتَكَ يَعْنى عَائِشَةَ فَأَعْمِرْهَا مِنَ التَّنْعِيمِ فَإِذَا هَبَطْتَ بِهَا مِنَ الأكَمَةِ فَمُرْهَا فَلْتُحْرِمْ فَإِنَّهَا عُمْرَةٌ مُتَقَبَّلَةٌ".