In a large pot over medium high heat, cook carrots with 1 ½ cup broth, 1 bay leaf, salt, pepper, and dried or fresh thyme until carrots are tender.
Add into the pot the remaining chicken broth, celery, onion and garlic and let come to a boil.
Next add the dry wide noodles to the pot and cook for 5 minutes uncovered.
Then after 5 minutes stir in 1 cup of milk and the frozen peas.
In a separate pan mix the remaining milk with the all purpose flour over medium heat and slowly whisk the milk and flour together to remove the lumps. Do this for about 3-4 minutes. This is going to be used to thicken the chicken and noodles.
Add this milk and flour mixture to the pot with the noodles, vegetables and broth.
Finally add the cooked shredded chicken and let the soup simmer until thickened. Note: if your type of egg noddles soaked up a lot of the liquid, you can add a a bit more chicken broth if you find it is too thick or the noodles didn't have enough liquid to cook in and get soft enough.
Remove from heat and serve hot topped with fresh chopped parsley (optional).
Notes
Please refer to my FAQ’s (Frequently Asked Questions) and ingredient list above for other substitutions or for the answers to the most common questions.