Saute the onion, celery, carrot, and broccoli florets in olive oil until soft and onions become transparent (about 10 minutes).
Add the garlic, bay leaf, herbs, and red pepper flakes and saute for another minute or tow.
Add the chicken broth, milk and cornstarch mixture.
Bring to a simmer and add the shredded chicken. Allow to simmer for 10 minutes. Season with salt and pepper to you liking and serve!