Add the chicken to a saucepan in a single layer. Pour in enough chicken broth to cover them by about 1 inch. Bring to a boil, then immediately reduce the heat to low and cover the pan. Let the chicken breasts simmer for 12-14 minutes, until cooked through.
Remove the chicken from the poaching liquid and let rest 5 minutes. Shred and toss with the hot sauce. For less spicy chicken, use 1/4 cup hot sauce and 1/4 cup of the poaching liquid.
While the chicken cooks, combine the carrots, celery, red onion, and yogurt. Season with salt and pepper.
To serve, pile the chicken onto individual lettuce leaves. Top with celery-carrot slaw, crumbled cheese, and cilantro.