I think it's lovely. I tend to think of mythology rather than Gilmore Girls, which I've never watched. Spelling it
Lorelei rather than Lorelai like the character might possibly deter people from associating it with the show. The good thing is that the myth was around well before the show, so I'm sure that a good number of people would probably realize that (at least I hope so).
Lorelei is on my list, and I'd like to use it as a middle name. One of my favorite
Lorelei combos is
Lorelei Winter.