In a 6-qt pot over medium-high heat, combine olive oil, carrot, onion and garlic. Cook, stirring occasionally until onion is soft, 6 to 8 min. Stir in flour until vegetables are coated, then add tomatoes. Add broth and ½ tsp oregano and stir, breaking up tomatoes. Bring to a boil, reduce heat to a simmer and cook 8 to 10 min.
Working in small batches, puree soup in a blender of food processor and transfer back to pot. Stir in cream, salt and chicken and heat through. Season to taste with salt and ground black pepper and serve garnished with remaining oregano.
This is an easy, really good creamy tomato soup. Make it in under an hour.Be sure to blend this tomato bisque in batches in the blender so it doesn't splatter out.