In a Dutch oven, heat butter over medium-high heat. Add onion and celery; cook until softened, about 3 minutes. Stir in rice and garlic; cook, stirring frequently, for 1 minute. Stir in broth, 2 cups water, carrots, thyme,1½ teaspoons salt, rosemary, pepper, and bay leaves, and bring to a boil. Partially cover, reduce heat, and simmer for 20 minutes. Stir in mushrooms, and cook until rice is tender, about 25 minutes.
In a small bowl, whisk together flour and remaining ⅓ cup water until smooth. Stir flour mixture, cream, and remaining ½ teaspoon salt into soup. Cook, stirring frequently, until thickened, about 5 minutes. Discard bay leaves before serving.
Recipe by Paula Deen Magazine at https://pauladeenmagazine.com/mushroom-and-wild-rice-soup-recipe/