01 - Combine ground turkey, cooked quinoa, chopped broccoli, egg, green onions, garlic, parsley, Dijon mustard, smoked paprika, salt, and pepper in a large bowl. Mix gently until just combined, taking care not to overmix which can result in tough patties.
02 - Divide the mixture into 4 equal portions. Form each portion into a patty approximately 1 inch thick, pressing lightly to compact without overworking the meat.
03 - Pour olive oil into a large nonstick skillet and warm over medium heat until shimmering but not smoking.
04 - Place patties in the heated skillet and cook for 6 to 8 minutes on each side. The burgers are done when golden brown on the outside and the internal temperature reaches 165°F when checked with a meat thermometer.
05 - Transfer cooked burgers to a plate and let rest for 2 to 3 minutes. This allows the juices to redistribute throughout the patties for optimal moisture retention.
06 - Serve burgers on gluten-free buns, wrapped in lettuce leaves, or standalone. Top with preferred condiments and accompaniments.