Prepare the marinade by blending lemon juice, oregano, coriander, garlic, olive oil, salt, and black pepper in a blender until smooth. Place the chicken in a zip-lock bag and add half of the marinade. Marinate in the refrigerator for 1-4 hours, turning occasionally.
Remove the chicken from the bag, pat it dry, and season with salt and pepper. Heat oil in a skillet and cook the chicken until lightly browned on both sides and cooked through.
Roughly chop the chicken and mix it with the remaining marinade. Refrigerate while cooking rice and sauce.
For the rice
In a Dutch oven, melt butter and add turmeric, cumin, and rice. Cook until lightly toasted, add chicken broth, and season to taste with salt and pepper. Cook covered until rice is tender.
For the sauce
Prepare the white sauce by whisking mayonnaise, yogurt, sugar, vinegar, lemon juice, parsley, salt, and black pepper in a small bowl.
To serve
Reheat the chicken in the skillet and serve on top of the rice. Top with the white sauce and hot sauce. Serve with lettuce, tomato, and toasted pita bread.