You stole that line from a personal letter and robbed it of all context.
Let's do a novel activity for you, and examine context. Tolkien belonged to a religion, Christianity, where making art that isn't religiously correct is widely seen as forbidden.
In a letter of Dec 2, 1953, Tolkien was being called upon to justify LOTR by a Catholic cleric (a family friend named Father Robert Murray), who had read it in galley prints and offered that Galadriel the elf queen was basically the Virgin Mary.
This is an absurd reading on its face. But Tolkien agreed with it, and said that LOTR was "unconsciously" Christian—which isn't even a thing. Religion is considered in this context to be a *conscious* activity, a series of *conscious* gestures. One can't be an "unconscious" Catholic or Protestant. That isn't a thing.
The idea of a "subconscious" as in psychoanalytic theory is widely dismissed throughout Christianity—except when it comes to cultural claims on LOTR by a religion that has no readable books.