Add 6 Tbsp butter and 3 Tbsp olive oil to a large pan with a lid over medium heat.
Add diced vidalia onion and cook over medium heat until translucent and fragrant, roughly 4-5 min.
Add 6 cloves minced garlic, 2 cups diced carrots, 2 cups corn or peas, and 1 cup chopped broccoli. Add thyme, if using, and add a pinch of salt. Cook down until fragrant and the carrots begin to get tender.
Add 2 cups orzo pasta and 4 cups chicken broth, and stir to coat everything. Allow to reach a simmer, then cover and cook for approximately 5 minutes.
Remove the cover to add 3 cups diced chicken and 1 cup milk. Cook another 4-5 minutes uncovered or until preferred thickness is achieved. (Note that you'll want to finish a few minutes before your "perfect" texture as it will continue to cook and the cheese will thicken the dish.)
Remove from the heat and stir in 1 cup parmesan cheese and season dish with salt and pepper to taste. Serve warm or portion into meals to store in the refrigerator.