Add rice, saffron, wine and stock, and bring to a simmer. Season with 1 teaspoon salt. Bring mixture to a simmer and reduce heat. Cover and cook at a simmer until vegetables and rice are soft, about 20 minutes. Remove from heat and cool mixture 10 minutes.
Purée the soup in a food processor, blender or food mill, and return the soup to the pot. (You can also use an immersion blender to purée the soup in the pot.) Stir in the cream. (Soup can be prepared 1 day ahead; cool, cover and refrigerate.) Place over low heat and when mixture comes to a simmer, add shrimp, chorizo, peas and, if desired, chicken. Cook until shrimp have turned pink and curled, about 3 minutes. Do not overcook or shrimp will become tough. Season with additional salt to taste. Ladle soup into 4 bowls and garnish with a sprinkle of chives.
Nutrition information per serving:
Calories473Fat27 gSodium503 mg
Carbohydrates26 gSaturated fat11 gCalcium89 mg
Protein31 gCholesterol170 mgDietary fiber3 g