Southern Penicillin Soup

Name: Southern Penicillin Soup
Cook time: 1 h 15 min
Total time: 1 h 15 min
Cuisine: Southern
Ingredients: 1/4 cup (2 oz.) unsalted butter; 1 cup finely chopped sweet onion (from 1 medium [7-oz.] onion); 1 cup finely chopped carrot (from 3 medium [3-oz. each] carrots); 1 cup finely chopped celery (from 3 large [1 1/2-oz. each] ribs); 1/2 cup finely chopped green bell pepper (from 1 small [5-oz.] pepper); 2 Tbsp. finely chopped garlic (from 6 large cloves); 2 tsp. finely chopped fresh ginger (from 1 [1-in.] piece); 1 tsp. onion powder; 1/2 tsp. kosher salt, plus more to taste; 1/2 tsp. black pepper; 1/2 tsp. ground turmeric; 1/2 tsp. paprika; 6 cups low-sodium chicken broth; 1 smoked turkey drumstick (about 12 oz.); 2 cups (about 7 oz.) uncooked small shell pasta; Hot sauce, to taste (optional)