Cook the Rice: In a medium saucepan, bring the unsalted chicken broth to a boil. Stir in the rice, lemon zest, and the chopped dill. Reduce the heat to its lowest setting, cover, and let it steam for 15 to 18 minutes, or until all the liquid is absorbed. Remove from the heat and let it stand, covered, for 5 minutes before fluffing with a fork.
Make the Sauce: While the rice cooks, combine the drained roasted red peppers, soft goat cheese, fat-free Greek yogurt, lemon juice, and the whole garlic clove in a high-speed blender. Blend on high for 60 to 90 seconds, or until the mixture is completely smooth and velvety.
Start the Chicken: Warm the olive oil in a large, deep sauté pan or Dutch oven over medium heat. Add the chopped onion and cook for 5 to 7 minutes, stirring occasionally, until it has softened. Stir in the minced garlic and cook for one more minute until fragrant.
Brown and Season: Increase the heat to medium-high and add the ground chicken to the pan. Use a spoon to break the meat into small crumbles. Sprinkle the smoked paprika, cumin, oregano, coriander, garlic powder, and black pepper over the chicken. Continue to cook, stirring often, for 7 to 9 minutes, until the chicken is fully cooked and reaches an internal temperature of 165°F (74°C).
Assemble the Bowls: Divide the warm lemon-dill rice among six bowls. Arrange a generous portion of the seasoned chicken alongside the rice. Add the sliced cucumbers and rinsed chickpeas to each bowl. Spoon a liberal amount of the creamy pepper drizzle over the top, and garnish with the chopped fresh parsley and dill before serving.