Rinse the quinoa under cold water. In a medium saucepan, combine rinsed quinoa, chicken broth, and 1 teaspoon of the ground cumin. Bring to a boil, then cover, reduce heat, and simmer for 15–20 minutes until the quinoa is tender and the liquid is absorbed. Fluff with a fork and set aside.
Pat the chicken dry. Rub both sides with the chili powder and the remaining 1 teaspoon ground cumin.
Heat a medium skillet over medium-high heat and lightly spray or oil the pan. Cook the seasoned chicken 4–5 minutes per side, or until cooked through (internal temperature 165°F / 74°C). Transfer to a plate and let rest until cool enough to handle, then cut into 1-inch cubes.
In a large bowl, combine the cooked quinoa, cubed chicken, diced mango, red bell pepper, jalapeño, diced red onion, chopped cilantro, and rinsed black beans. Toss gently to mix.
Drizzle the lime juice and olive oil over the mixture and toss until everything is evenly coated.
Serve warm in bowls immediately, or chill if you prefer it cold. To make wraps, divide the mixture into the flour tortillas and serve.