Stir in the rice until evenly coated in vegetable mixture, then pour in tomatoes with juice, garlic, broth, and thyme.
4 Bring to a simmer over medium high heat, then reduce to low. Cover and simmer 20 minutes.
5 Stir in shrimp and cook uncovered until the shrimp turn pink.
6 Remove from heat and let stand 5 minutes before serving.