When I was a girl, I tried reading TLOR first but only got through 95 pages or so... and I ended up reading The Hobbit first simply because it made sense to read it first since it predates TLOR. However, I think now that I could have read TLOR and not The Hobbit, had I not had enough time to read both. I am not sure it really matters what order you read them in, however. Both books do not need the other to be enjoyable on their own.