The couple got engaged last fall, after meeting in a burn victims support group at Parkland Memorial Hospital in Dallas.
"I was drawn to him. I just had to meet him," Nash told NBC 5 Dallas-Fort Worth. "I just looked at him from across the room, and there was something about him."
Wiens became the first American to undergo a full face transplant after he touched a high voltage wire in 2008. Nash was severely burnt in a car accident in 2010.
Wiens, who lost his eyesight in the accident, said he and Nash both want to move forward with their lives: "There's no reason to dwell on the past."
"It's a story of hope," the bride said. "A story of true survivors."
