Whenever the reference to a race or culture is capitalised (Men, Elves, Dwarves, Hobbits, Numenoreans, etc) it refers to
all the members of that race. In the history of the Ring very few individuals come into contact with it, & they are all male. For women not to be tempted by the Ring would basically mean they are 'unfallen' & so immune to temptation. As no race within Me is unfallen, both males & females must be subject to the lure of the Ring if they come into contact with it. It could be argued perhaps that women would be less likely to sucumb due to psychological differences, but that begs a much larger question...
Or maybe women would be
more likely to succumb - the Entwives seem more desirous of control over the natural environment than the Ents, for example. Maybe the males realised this & went out of their way to make sure it never came near women....
