"Spread my wings like a parachute/ I'm the albatross/ I swept in at the rescue," Swift sings on The Tortured Poets Department: The Anthology track.
The singer called on SummerStage staff to pass out waters before restarting her song "Amber Waves."
Jessica Biel and Martin Scorsese were also in attendance.
The country star was in the middle of performing "I Had Some Help," his duet with Post Malone.
Michael Bublé, Cynthia Erivo, Dave Koz and Henry’s daughter Monica Mancini performed.
The Beatles legend, 82, was a VIP guest at Swift's Sunday concert at Wembley.
Swift performed a "thanK you aIMee" and "Mean" mashup before the Paramore singer joined her for Saturday night's surprise songs at Wembley Stadium.
Limited screenings will begin on July 31.
In a show called “The Pop Out” Kendrick did just that and Inglewood and the culture will forever be grateful.
"I hate it here, so take me to the lakes/ Take me to the lakes where all the poets went to die/ I don't belong, and my beloved, neither do you," sang Swift in Cardiff, Wales.