The teenager performed John Legend's Ordinary People for the panel on Sturday night, getting both Jessie and Will to turn around.
Recalling her audition, Becky said this week: "I don't usually get nervous, but then I don't usually play in front of four talented artists!"
After her performance, Jessie raved: "Becky, you are the reason I came on the show."
Revealing why she picked the Price Tag hit maker over BEP star Will, Becky said: "I think Jessie will get where I want to go more than will, and Jessie's female and that will help a lot."
But she added: "I did feel really bad for not picking him but I just didn't feel that he'd be right."