In a large bowl, combine the ground chicken, egg, bread crumbs, hot sauce, garlic powder, and salt. Use your hands to combine. Pat into 4 equal sized patties.
Place the chicken patties on a hot grill over medium heat and cook for 5 minutes. Flip and continue cooking for 5 minutes or until cooked through. Top with the cheese, turn off the grill, and close the lid to let the cheese melt. Remove to a plate.
While the burgers are cooking, heat a large skillet over high heat and melt the butter. Thinly slice the peppers and onions and add to the skillet. Cook, stirring occasionally, until peppers and onions are tender crisp and slightly browned, about 8 minutes.
Meanwhile, heat another skillet over medium heat and butter each bun. Toast the buns the buns until golden.
Top the buns with guacamole, burgers, and vegetables to serve.