Your circumambulation would suffice both Hajj and Umra. She, however, felt reluctant. Thereupon the Prophet ﷺ sent her with 'Abd al-Rahman to Tan'im and she performed Umra (with separate rituals) after Hajj.
أَنَّهَا أَهَلَّتْ بِعُمْرَةٍ فَقَدِمَتْ وَلَمْ تَطُفْ بِالْبَيْتِ حَتَّى حَاضَتْ فَنَسَكَتِ الْمَنَاسِكَ كُلَّهَا وَقَدْ أَهَلَّتْ بِالْحَجِّ فَقَالَ لَهَا النَّبِيُّ ﷺ يَوْمَ النَّفْرِ يَسَعُكِ طَوَافُكِ لِحَجِّكِ وَعُمْرَتِكِ فَأَبَتْ فَبَعَثَ بِهَا مَعَ عَبْدِ الرَّحْمَنِ إِلَى التَّنْعِيمِ فَاعْتَمَرَتْ بَعْدَ الْحَجِّ