04/06/2011 10:52 am ET Updated Jun 06, 2011

Taylor Swift, Garrett Hedlund Go Out To Dinner

Taylor Swift has entered the grid.

Us Weekly is reporting that the country megastar, who on Sunday won the AMC's Entertainer of the Year award, went out out to dinner Tuesday night with "Tron" star Garrett Hedlund.

"It was their first time going out," a source told the magazine. "They've been emailing for a while, and she hinted they should get together."

It could be a good match; Hedlund also starred in this winter's "Country Strong," as an up and coming country singer.

While it wasn't too wild of a night -- Us says Hedlund was back at his Nashville hotel room by 12:30 -- it marks a potential new relationship for Swift. In December, she was blindsided by her sudden breakup with Jake Gyllenhaal, and wrote a song allegedly about her heartbreak after a short fling with John Mayer.

In February, Swift was seen out with "Glee" star Chord Overstreet.

If it was a date, Hedlund may want to make sure this works out -- Swift has been known to write songs about all of her ex-breakups, including her infamous split with Joe Jonas. She briefly dated Taylor Lautner, but took the blame for the end of that relationship.

Professionally, Swift is gearing up for her new movie, providing a voice for the Dr. Seuss adaptation "The Lorax."

For more, click over to Us Weekly.