Swift and Healy sparked romance rumors earlier this month following her shock split from longtime boyfriend Joe Alwyn. : Taylor Swift and Matty Healy were caught 'kissing' while on a romantic date in New York City on Thursday, May 11. The hot new couple were on a double date with Swift's collaborator Jack Antonoff and his fiancee Margaret Qualley at Casa Cipriani, as captured by a fan on social media. An eyewitness told Page Six that Swift and Healy were seated next to one another in the lounge of the celeb hotspot and 'security was around them.'