Taylor Swift never mentioned Kanye West by name, but everyone at the Grammy Awards on Monday night knew who she was talking about when she called out people who try to “take credit for your accomplishments.”

After collecting the evening's big Grammy Award for Album of the Year for her smash hit “1989,” Swift’s speech hit directly at West’s comments over the weekend where he claimed responsibility for her fame (as well as saying he assumed they would sleep together one day).

“As the first woman to win Album of the Year at the Grammys twice, I want to say to all the young women out there: there are going to be people along the way who will try to undercut your success, or take credit for your accomplishments or your fame,” Swift said to a standing ovation. “But if you just focus on the work and you don’t let those people sidetrack you, someday when you get where you’re going, you’ll look around and you’ll know that it was you and the people who love you that put you there, and that will be the greatest feeling in the world.” 

Swift’s friend, singer Camilla Cabello of Fifth Harmony, told FOX411 that the speech hit home.

“There are people that are always going to try to undermine you and there are people that are going to be haters,” she said. “And I think it was a wonderful message that she spoke about it.”

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West’s new song “Famous,” which debuted last week along with his new album “Life of Pablo,” contains the lyric: “I feel like me and Taylor might still have sex / Why? I made that bitch famous.”

Swift and West became forever linked in pop culture when West interrupted Swift's acceptance speech at the 2009 MTV Video Music Awards -- using the now-famous phrase "I'mma let you finish" -- to say that Beyonce's "Single Ladies" should have beaten Swift's "You Belong With Me" for best female video.

Swift won three Grammys on Monday night’s show. West’s new release has met mixed reviews and he has recently made headlines for claiming he is $53 million in debt and begging Facebook founder Mark Zuckerberg to bail him out, despite West being married to multi-millionaire reality star Kim Kardashian.