Soak wooden skewers in water for at least 20 minutes to prevent them from burning on the grill.
Cut the chicken breast into 1-inch cubes and place them in a medium mixing bowl.
In a small jar, whisk together the olive oil, lime juice, chili powder, cumin, sea salt, and black pepper.
Pour the marinade over the chicken and toss to coat thoroughly, letting it marinate for 15 minutes.
Slice the red bell pepper and red onion into 1-inch chunks suitable for skewering.
Thread the marinated chicken, bell pepper, and red onion onto the skewers in an alternating pattern.
Preheat a grill or cast-iron grill pan to medium-high heat and lightly grease with a touch of oil.
Grill the skewers for 10-12 minutes, turning every few minutes, until the chicken is cooked through and has a nice char.
Warm the pre-cooked quinoa and serve the skewers immediately on top for a complete, clean meal.