This is the book that Rory is reading on her bed when Lorelai comes in before her date with Peyton.
Letters of Ayn Rand is a collection of letters written by the novelist and philosopher Ayn Rand, edited by Michael Berliner with the approval of the Rand estate. It was first published in 1995, 13 years after Rand’s death, and the paperback version that Rory is reading was published in 1997. It received generally positive reviews from Rand scholars and fans, but was judged “tedious” by The Washington Post.
Although Rory said she only liked Ayn Rand because of her novel The Fountainhead, reading her letters seems to suggest a stronger interest in Rand and her ideas than she let on.
The Annotated Gilmore Girls 