Step 1

Season chicken with salt and pepper. In a 5-quart Dutch oven or heavy-bottomed pot, heat oil over medium-high. Working in batches, cook chicken (do not crowd pot) until browned, 7 to 8 minutes, turning once. Transfer to a plate (reserve pot); set aside.

Step 2

Place bell pepper, chorizo, onion, garlic, and tomatoes (with their juice) in pot; season with salt and pepper. Cook, stirring occasionally, until liquid has evaporated, 4 to 6 minutes.

Step 3

Add rice; cook, stirring, until translucent around edges, 1 to 2 minutes. Add broth and chicken; bring to a boil. Reduce to a simmer; cover, and cook until rice begins to soften, about 10 minutes. Add peas and shrimp, submerging them in liquid. Cover and cook until shrimp are opaque throughout, 4 to 6 minutes.