Can a woman be shrouded in the waist-sheet of a man?

Narrated Um 'Atiyya:

The daughter of the Prophet expired, and he said to us, "Wash her three or five times, or more if you see it necessary, and when you finish, notify me." So, (when we finished) we informed him and he unfastened his waist-sheet and told us to shroud her in it.

حَدَّثَنَا عَبْدُ الرَّحْمَنِ بْنُ حَمَّادٍ، أَخْبَرَنَا ابْنُ عَوْنٍ، عَنْ مُحَمَّدٍ، عَنْ أُمِّ عَطِيَّةَ، قَالَتْ تُوُفِّيَتْ بِنْتُ النَّبِيِّ ﷺ فَقَالَ لَنَا " اغْسِلْنَهَا ثَلاَثًا أَوْ خَمْسًا أَوْ أَكْثَرَ مِنْ ذَلِكَ إِنْ رَأَيْتُنَّ، فَإِذَا فَرَغْتُنَّ فَآذِنَّنِي ". فَلَمَّا فَرَغْنَا آذَنَّاهُ فَنَزَعَ مِنْ حِقْوِهِ إِزَارَهُ وَقَالَ " أَشْعِرْنَهَا إِيَّاهُ ".