The Lord of The Rings has about 160 named characters. Women out of these: 5.
1. Ioreth, a healer in Gondor, who gets shamed and humiliated by the heroic Aragorn for not knowing some obscure weed's healing properties, that only works in very specific circumstances.
2. Rosie the stupid village bimbo.
3. Galadriel the unapproachable frigid iceberg.
4. Arwen who loves singing and embroidery the movie Arwen is vastly more interesting character than the book one.
5. Get back to the kitchen Éowyn.
That is all.
Wait. Was Bilbo's "nagging mother-in-law" type of relative named?