Melt the butter in a Dutch oven over medium-high heat. Add carrot and next 5 ingredients (carrot through garlic). Sauté 8 minutes or until browned. Stir in broth, scraping pan to loosen browned bits. Stir in turkey and rice; bring to a boil. Cover, reduce heat, and simmer 1 hour and 15 minutes or until rice is tender.

Lightly spoon flour into a dry measuring cup; level with a knife. Combine flour and milk in a small bowl, stirring with a whisk. Add to pan. Cook over medium heat until thick (about 8 minutes), stirring frequently. Stir in sherry and salt.