I agree with your distinction between him being racist and there being racist elements in the book; the author of that article does not. Or perhaps she does, and wouldn't even be wasting her time on writing an article if she thought Tolkien was an actual racist in the evident sense of the word.

Tolkien does include other races, though. The non-white men get very little attention - they fight on the evil side, though, even if Sam makes his famous comment at one point about how they are just ordinary people like them. But all the orcs and goblins...

She also quotes a comment by Tolkien comparing his Dwarves to Jews, based on their being obsessed by gold and riches - which is indeed anti-semitism of a kind that would be normal in an author of a century earlier, but not so much post-WW2. Not that the Dwarves are depicted as bad guys (despite the blog author's attempt to suggest so by quoting the most negative passage about them, from early on in The Hobbit), but still.

She doesn't find anything more to complain about concerning Galadriel than that she is "placed on a pedestal". About Eowyn, she's more convincing... the end of that storyline, after all, is that Eowyn does go back to doing what she's supposed to do, and looks back at her desire to break free as being a silly thing.