'There's a special place in hell for them':
Fey and Poehler threw a barb at the singer, telling her to "stay away" from actor Michael J. Fox's 23-year-old son.
The Grammy-winning singer is well known for documenting her personal relationships in her songs, often leaving little clues in the lyrics that hint at the subject.
She has been linked to high profile celebrities such as John Mayer, Jake Gyllenhaal, Taylor Lautner, Joe Jonas and more recently, Conor Kennedy and One Direction's Harry Styles.
'For a female to write about her feelings, and then be portrayed as some clingy, insane, desperate girlfriend in need of making you marry her and have kids with her, I think that's taking something that potentially should be celebrated - a woman writing about her feelings in a confessional way - that's taking it and turning it and twisting it into something that is frankly a little sexist,' Swift said.
Poehler was quick to respond to Swift's comments, telling The Hollywood Reporter: 'Aw, I feel bad if she was upset. I am a feminist and she is a young and talented girl. That being said, I do agree I am going to hell. But for other reasons. Mostly boring tax stuff.'
Fey was less sympathetic, telling Entertainment Tonight: 'If anyone was going to get mad at us, I thought it would be James Cameron. I did not see that one coming. It was a joke. It was a light-hearted joke.'
(Fey was referring to a swipe made at the ex husband of Zero Dark Thirty director Kathryn Bigelow. They said when it comes to torture, they 'trust the lady who spent three years married to James Cameron.')
Swift's latest hit We Are Never Ever Getting Back Together was presumed to be about Gyllenhaal while I Knew You Were Trouble is said to be about Mayer.
Swift, who notably refuses to reveal details of her personal life, didn't name any names herself in the interview, but said 'since 2010 I have dated exactly two people,' referring to Kennedy and Styles.
According to Vanity Fair, Swift gave permission for an unnamed source to speak about her relationships in more detail, revealing that Styles, 19, had 'chased' Swift for a year and 'wore her down' into dating him.
The relationship ended after Styles was photographed kissing another woman, but he 'pursued her for the better part of a year until she finally took him back,' the source said.
Swift, who became a teenage darling within the country-pop scene for her raw, honest and catchy songs, has seen her music slowly becoming overshadowed by the spotlight cast on her private life.
'I'm dealing with a little bit of a chaotic media circus right now ... But there's also a lesson in all this ... In knowing that you can live your life in a way that you're proud of and people are still gonna take shots,' Swift said.
The full interview will appear in Vanity Fair's April issue, out in New York and Los Angles on Thursday and nationally on March 12.