In S1E11, Emily finds out about Lorelai kissing Max at Chilton, and she is furious. Lorelai says it was a mistake, and Emily says, “A mistake?! A mistake, is that what you call it? A mistake?!” Lorelai responds, “Well, I tried to call it ‘Al,’ but it would only answer to ‘mistake.'”
“You Can Call Me Al” is a song by Paul Simon from his 1986 album, “Graceland.” The song seems to describe a midlife crisis, which would be somewhat appropriate for Lorelai (at least for the way Emily views the situation).