Jammin Jambalaya Soup

Name: Jammin' Jambalaya Soup
Ingredients: 2 tablespoons vegetable oil; 1 pound andouille or another spicy smoked sausage; 5 boneless skinless chicken thighs; 1 large onion, diced; 1 medium green bell pepper, diced; 2 medium stalks celery, diced; 2 cloves minced garlic; 2 teaspoons Hungarian paprika; 1/2 teaspoon dried basil; 1/2 teaspoon dried oregano; 1/2 teaspoon dried thyme leaves; 1 14 to 15 ounce can plum tomatoes; 8 cups chicken broth; 3 cups cooked white rice; 3/4 pound peeled and deveined shrimp (I used 26-30s); Cayenne pepper to taste, if desired