I would only put Rory Gilmore on the spectrum if I could also add Marie Antionette, Joseph Stalin, and the Dark Lord Voldemort. Since this gives you an indication of what I think of the character, you should probably stop reading if you would be offended by these sorts of comments against her.
Rory has no traits that would qualify her as Aspie. She is not particularly intelligent in any area; she is above-average, but is well-rounded with no particular talents. Her discussion of literature comes across as self-aggrandizement; she reads canonical books because they make her look smart, not because she gets anything unique out of them ( at least, we've never seen that she does ). Her journalistic skills are non-existent ( she only got the job at Mitchum's paper because he was her boyfriend's dad, and even then he gave her that hilarious speech about how she'd be better suited to secretarial work ). She does very well in most social situations and is beloved by everyone in both Stars Hollow and Hartford. She shows no defecits in the way she puts her appearance together or the way she talks, other than being disgustingly spoiled and sheltered. Her good grades are because she's good at " playing the game " of academia ( i.e. slavish devotion extra-cirriculars and standardized tests ), not because she does anything unique. The only reason she looks smart is because Stars Hollow is so exaggerated in its small-town buffoonery that simply acknowledging the earth moving around the Sun is an achievement there. And this isn't even going to her taste in guys, which go beyond simple intimacy issues inherited from her mother; she fell for a dutiful dimwit, a cliche rebel, and an egotistical trust-fund baby. Not only do none of these guys seem even remotely Aspie, but if she had any worse taste in men she'd be Eva Braun.
Rory is a spoiled brat who has had her friends and family support her to a fault and bail her out of any tough situation . Any awkwardness she shows is when she reaches a situation where she meets people who do not kneel at the feet of The Virgin Rory, and cannot charm her way out of it. There are plenty of characters who would not qualify as NT on GGs, most notably Paris ( very likely a candidate for some sort of autism ) and Kirk ( who likely has at least one developmental disorder ).
I don't know about Alexis Bledel being on the spectrum, other than the fact that she seems to be a genius at playing detestable snobs.
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