In a large Dutch oven or other heavy pot, heat oil over medium-high. Add onion; cook until softened, 8 minutes. Add garlic, chiles, rosemary, cumin, oregano, and cayenne and cook until fragrant, 2 minutes; season with salt. Add turkey and cook, breaking up meat with a wooden spoon, until cooked through, 5 minutes. Add broth, beans, and hominy; bring to a boil over high. Partially cover, reduce heat, and simmer until chili is thickened slightly, 25 minutes. Stir in cornmeal and cook 15 minutes. Season to taste with salt.