Marinate the Chicken – In a large bowl, mix olive oil, paprika, garlic powder, salt, black pepper, cayenne pepper (if using), and lime juice. Add the chicken, ensuring it is well coated. Cover and let it marinate for at least 30 minutes (or up to 2 hours for deeper flavor).
Cook the Chicken – Heat a large skillet over medium-high heat. Add the marinated chicken and cook for 6-7 minutes per side, or until the internal temperature reaches 165°F (75°C). Remove from heat and let it rest for 5 minutes before slicing.
Make the Creamy Garlic Sauce – In a small bowl, whisk together mayonnaise, sour cream, minced garlic, lemon juice, Dijon mustard, salt, and black pepper until smooth. Set aside.
Prepare the Sides – While the chicken is cooking, steam or roast the broccoli until tender. Cook the rice or quinoa according to package instructions.
Assemble and Serve – Slice the chicken and serve it over a bed of rice or quinoa with a side of broccoli. Drizzle with the creamy garlic sauce and garnish with lime wedges.