And now, Conor's aunt Rory Kennedy is giving the cute couple her seal of approval.
"I love her music," Rory told us of Conor and Taylor at today's Creative Arts Emmy Awards in L.A.
"I love her," the Emmy-nominated filmmaker gushed. "She's terrific. Huge fan."
When asked what she thinks of her 18-year-old nephew dating the 22-year-old singer, she smiled, "Very sweet."
Conor and Taylor do have Rory to thank for their budding romance, after all. "Rory went to a concert of hers with her two little girls, and that's how that started," Conor's grandmother Ethel Kennedy told reporters last month of the Taylor-Kennedy connection.
Just last week, Conor's cousin Caroline sounded off on her favorite Swift song while talking to CBS This Morning. "Romeo," she laughed, referring to the Grammy-winner's tune "Love Story."
It sure sounds like Taylor is fitting into the Kennedy family just fine!