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. (Using translation from Muslim 1211x)
أَنَّهَا أَهَلَّتْ بِعُمْرَةٍ فَقَدِمَتْ وَلَمْ تَطُفْ بِالْبَيْتِ حَتَّى حَاضَتْ فَنَسَكَتْ الْمَنَاسِكَ كُلَّهَا وَقَدْ أَهَلَّتْ بِالْحَجِّ فَقَالَ لَهَا النَّبِيُّ ﷺ يَوْمَ النَّحْرِ يَسَعُكِ طَوَافُكِ لِحَجِّكِ وَلِعُمْرَتِكِ فَأَبَتْ فَبَعَثَ بِهَا مَعَ عَبْدِ الرَّحْمَنِ إِلَى التَّنْعِيمِ فَاعْتَمَرَتْ بَعْدَ الْحَجِّ