The 34-year-old pop superstar offered a nod to the Kansas City Chiefs player while performing Midnight Rain during the Midnights section of the show at the city's Aviva Stadium on Friday night by adopting his signature archer pose.
She playfully smiled as she shared the gesture while she sang the lyrics: "And he never thinks of me, except when I'm on TV."
During the show, Swift - who debuted new costumes for the Folkmore and 1989 sections of the show - thanked the crowd for making her feel "very powerful".
"Dublin - this was wild," she told the sold-out crowd.
"That made me feel amazing.
"Tonight, I get to play a sold-out show in Dublin on a Friday night.
"You guys are making me feel so good, it's going straight to my head.
"You're making me feel very powerful."
During the surprise song segment of the show, the Shake It Off singer played State of Grace from Red (Taylor's Version) on guitar before segueing into You're On Your Own Kid - which received its eighth outing of the tour, making it her most played track in that portion of the show - from Midnights.
Swift then headed across to her piano, where fans were treated to Sweet Nothing - which refers to a pebble she has from Wicklow, Ireland - from Midnights and Hoax from Folklore.
Ahead of the show - her first of three in the city - U2 sent Swift flowers to wish her luck.
The Cruel Summer singer shared a photo of the bouquet on Instagram, which included a note that read: "Dear Taylor, Welcome back to our hometown … leave some of it standing? Your Irish fan club, Bono, Edge, Adam and Larry."
She captioned the post: "Already feeling that Irish hospitality. U2, thanks for always being the classiest + coolest."
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