Heat the oil in a large pot over medium-high heat. Add the shallots, carrots and bell pepper and saute, stirring frequently, until the vegetables begin to brown and soften slightly, 8 to 10 minutes.
Add the ground turkey and stir until the meat turns white and begins to color very slightly around the edges, 5 to 7 minutes. Add the herbes de Provence and stir, 1 minute.
Add 4 cups broth, tomatoes and rice. Bring to a boil. Stir in the kale and season with 3/4 teaspoon salt and the freshly ground black pepper. Reduce the heat to medium-low.
Cover and simmer until the vegetables are tender, about 15 minutes. Season with the remaining 1/4 teaspoon salt.
Ladle the soup into bowls. Sprinkle each serving with parsley and Parmesan and serve.