بِمِثْلِ اللَّفْظَةِ الَّتِي ذَكَرْتُ أَنَّهَا مُجْمَلَةٌ غَيْرُ مُفَسَّرَةٍ
The wording of the hadith in this regard is general, not detailed (that is, the hadith mentions performing Hajj on behalf of an old man, but does not mention a woman; however, Hajj can be performed on behalf of both men and women).