Heat the olive oil in a non-stick skillet over medium-high heat.
Add the ground turkey, smoked paprika, and cumin to the pan, breaking the meat apart with a spatula and cooking until browned.
Stir in the diced bell peppers and red onions, sautéing for 3-4 minutes until the vegetables are tender-crisp.
In a small bowl, whisk together the whole eggs and egg whites, then pour the mixture into the skillet with the turkey and vegetables.
Gently scramble the eggs until they are just set and fully incorporated with the chorizo-style turkey.
Season the mixture with sea salt and black pepper.
Warm the tortilla in a separate dry pan for 30 seconds, then transfer the egg and turkey mixture to the center of the tortilla and roll it up tightly.
Place the assembled burrito back into the hot pan, seam-side down, and toast for 1-2 minutes per side until the exterior is golden and crispy.