Heat the oven to 375°F and combine the quinoa, broth and drained tomatoes in a 9-by-13-inch baking dish.
Add the bell peppers and onion in an even layer.
Season the chicken pieces with the chili powder, cumin, salt and garlic powder and arrange them over the vegetables.
Cover tightly with foil and bake until the quinoa is tender and the chicken reaches 165°F, 35 to 40 minutes.
Uncover, stir the casserole, top it with Monterey Jack and bake until melted, about 5 minutes.
Drizzle the lime juice over the casserole and rest for 5 minutes before serving.