Step 1

Bring broth to a simmer in a 4-quart pot over high heat; add chicken. Reduce heat; simmer gently until chicken is cooked through, about 15 minutes. Using a slotted spoon, transfer chicken to a bowl. Reserve broth in pot. Let chicken cool slightly, and then shred with a fork into bite-size pieces.

Step 2

Bring a medium saucepan of water to a boil. Add orzo; cook until al dente. Drain. Add orzo and chicken to reserved broth. Bring broth just to a gentle simmer, and then reduce heat to low.

Step 3

Beat together eggs and lemon juice in a medium bowl until smooth. Ladle 1 cup hot broth into egg-lemon mixture, whisking constantly until mixture is warm to the touch. Stir the egg-broth mixture into the broth in the pot. Stir in the dill, and season with pepper.