Praise be to Allah, the Lord of the Worlds; and may His blessings and peace be upon our Prophet Muhammad and upon all his Family and Companions.
This Hadith was reported by Ahmad and Al Nasa’e from Abu Musa Al Ashari and its chain is good. It contains an evidence that it is forbidden for women to put on perfumes in public in presence of alien men and this rule is peculiar to females. So, it does not include males. However, it is understood from this Hadith that there is no objection that the woman puts on perfumes provided they are not redolent. So, we say to this sister that she can put on perfumes or deodorant that do not attract alien men as to remove any odor from her body.
Allah knows best.