The politician admits to being a staunch devotee of the series, and was thrilled to turn up on set for her shoot at the end of last month.
Albright says, "I am a big fan of Gilmore Girls and I had a great time. It was an opportunity to do something different for a quick minute, and I learned how hard it is to memorize those lines."
And bosses of the show were thrilled with the stateswoman's performance.
Executive Producer Amy Sherman-Palladino says, "If you think she seems brilliant and sassy strutting around the Middle East, you should try talking to her in person.
"We are very honored, very lucky, and so not worthy."
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