01 - Preheat the oven to 400°F.
02 - Heat 2 tablespoons olive oil in a large skillet over medium heat. Add chopped onion and minced garlic, sauté until softened and fragrant, approximately 3 minutes.
03 - Add chicken cubes to the skillet along with dried thyme, smoked paprika, 1 teaspoon salt, and 1/2 teaspoon black pepper. Cook until chicken develops golden brown coloration on all sides, 5 to 6 minutes.
04 - Stir in tomato paste and cook for 1 minute to develop flavor. Pour in chicken stock and add sweet potato cubes. Cover the skillet and simmer until sweet potatoes are fork-tender, 10 to 12 minutes. Remove from heat.
05 - Transfer approximately half of the cooked sweet potatoes to a mixing bowl. Mash thoroughly until completely smooth. Allow to cool for 5 minutes.
06 - Combine mashed sweet potatoes with 1 large egg, gluten-free flour, 1/2 teaspoon salt, and 2 tablespoons olive oil. Mix until a pliable, cohesive dough forms.
07 - Transfer the chicken and remaining sweet potato mixture into a lightly greased 9-inch pie dish, spreading evenly.
08 - Press the sweet potato crust dough over the filling, using your hands to smooth and seal the top surface completely.
09 - Bake for 25 to 30 minutes until the crust is set and displays light golden coloration.
10 - While pie bakes, combine diced tomatoes, chopped olives, red onion, fresh parsley, extra-virgin olive oil, and lemon juice in a bowl. Season with salt and pepper to taste.
11 - Allow the pie to rest for 10 minutes before slicing. Serve warm accompanied by the tomato olive salsa.