Wash chicken and cut into 2-inch pieces and pat dry; rub with the paprika.
Heat olive oil in a large skillet; add chicken and brown on all sides.
Remove chicken from skillet.
Add onion, green bell pepper, celery, and garlic.
Sauté over medium heat until onion is tender, about 5 minutes.
Stir in sausage, tomatoes, chicken broth, rice, thyme, salt, pepper, and hot sauce.
Add chicken and turn to coat with sauce.
Bring to a boil.
Reduce heat, cover, and simmer for 25 minutes, or until rice is tender and chicken cooked through.
Stir in shrimp and cook about 3 minutes longer, or just until shrimp turn pink.
Notes
Quick and Easy TipIf you'd need to get dinner on the table in a hurry use 2 packages of precooked rice and omit the chicken. Dinner can be on the table in about 20 minutes.