It's complicated...  First, it was rumored that Taylor was dating Patrick Schwarzenegger, son of Maria Shriver, who is part of the Kennedy clan.  Turns out she's dating a different Kennedy...

The chatter is that she's dating Conor Kennedy, son of Robert F. Kennedy, Jr.

According to Taste of Country,

"The New York Post reports that young ‘friends’ Conor and Taylor were spotted very close together, holding hands and enjoying several dates, spending all of this past weekend at the Kennedy compound in Hyannis Port, Mass.

Witnesses say that they were jumping up and down the family’s trampoline, hanging at a house party, having pizza and sailing the high seas, all while just generally being “touchy-feely.” Swift, 22, and Kennedy also attended church services on Sunday — you know, partaking in all of the typical activities of a potentially newly-dating couple."

Words of wisdom, dear Conor....  Don't break her heart or you will infamously be written into a song for her next album.