I think Galadriel is especially a cipher for Tolkien fans coming to the RoP. Quite beyond the hot-button issue of "Gender Roles at the Intersection of Politics and Wokeism," Tolkien simultaneously wrote too much and not enough about her.
Too much: the LotR, its drafts and ephemera (including the Appendices and the 2nd Edition), her insertion into the Silm and its associated texts, to say nothing of the various texts that were intended to specifically fill in her history.
Too little: well... we still really only have an outline--and a contradictory one--of her movements and actions through the better part of three ages. Insofar as Celeborn should be considered her narrative appendage, it's unclear when they meet, where, and how/if he's her kin.
It is kind of funny that Galadriel in particular should give rise to complaints about "a woman holding a sword," since she's explicitly named "Nerwen" in what was is not a peripheral text, and fairly well delineated as being about to compete in physical masculine activities with the male Elves. Whether this continues past her encounter with Melian (which does seem to have been a revelation of sorts to Galadriel about another, even better, kind of power she could exercise) is an open question, and I think it's probably right to look in askance at her being made a general in the 2nd Age when her role seems to already be queenly (and in the mode of Melian). But to complain that RoP is smushing various parts of timelines into a smudged whole is different from saying "Tolkien believed women should never fight with swords!"
Although, I think there is an argument to be made that Tolkien made Galadriel more and more powerful, even Virgin Marian, as he aged and that, consequently, the best canonical complaint is that RoP makes Galadriel way too underpowered.
There certainly were complaints about Arwen wielding a sword in the LotR, and I think that--as far as being an interpretation of Tolkien's text goes, that's actually MORE valid, since Arwen's role is deliberately more passive and her likeness is specifically to Lúthien (though Tolkien's a bit coy there--Lúthien is very much not a passive heroine: the likeness is visual and dynastic more than narrative).
So, as I said, Galadriel makes a particularly good cipher because there's both so much known about her and so much unknown about her: to form a strong complaint (or, for that matter, a strong preference) for her usage in RoP--and through three episodes, at that!--really shows to what extent the particular reader has formed their own opinions about the conflicting information Tolkien left.
The absence of Celeborn and Círdan, now, is a tragedy! Sindarin erasure, I tell you.
