Place rice in an 8-inch square baking dish; cover with water. Microwave at HIGH 6 minutes; drain.
Heat 1 teaspoon olive oil in a large saucepan over medium heat. Add 1/2 cup chopped onion, 1 teaspoon minced garlic, and Cajun seasoning to pan, and cook for 2 minutes, stirring frequently. Stir in sausage, and cook for 1 minute. Add the rice, chicken broth, black-eyed peas, and tomatoes to pan; bring to a boil. Reduce heat, and simmer for 4 minutes or until rice is tender. Stir in hot pepper sauce. Ladle about 1 1/4 cups mixture into each of 4 bowls, and sprinkle each serving with 2 tablespoons green onions.