In a large stock pot, add oil along with carrot, celery and onion. Saute over medium heat until tender. Add garlic; cook and stir 1 minute.
Add in rice, seasonings and broth. Stir to combine and bring to a boil. Reduce heat and simmer, covered, until rice is tender, about 15 minutes.
in a bowl, whisk flour and milktogether until smooth. Stir into soup and bring to a boil. Cook and stir for about 2 minutes until thickened. Stir in chicken and heat through. Makes 4 servings.