Jumpin Creole Jambalaya

Name: Jumpin Creole Jambalaya
Ingredients: 2 fully cooked chicken sausage links (about 6 oz); One 14.5–oz. can fire-roasted diced tomatoes, no salt added; 3/4 cup onion, chopped; 1 large green bell pepper, seeded, chopped – I used yellow; 1 cup celery, chopped; 1 cup low-sodium chicken broth; 1/2 cup uncooked brown rice; 1 tbsp. garlic, minced; 1 tsp. cajun seasoning; 1/2 tsp. hot sauce, or more to taste; 1/4 tsp. dried oregano; 1/4 tsp. dried thyme; 6 oz. raw shrimp, tails removed, deveined, chopped