There was backstage drama at the Drama League awards yesterday when co-host Debra Messing had an allergic reaction and paramedics were called. “Apparently Debra’s allergic to chicken,” explained a spy at the lunch, where “Kinky Boots” and “Vanya and Sonia and Masha and Spike” won honors. “She was served chicken by accident.” Help was called as a precaution, but Messing went on with the show. “She was a real theatrical pro!” exclaimed a staffer. “The EMTs wanted to take her to the hospital, but she refused to go. She stayed to the end.” Nathan Lane, Bernadette Peters, “Pippin” and “Who’s Afraid of Virginia Woolf?” also picked up awards. “She’s a true show-must-go-on person,” said Messing’s rep.