Heat oil and butter in a skillet over medium heat until melted. Add chopped onions and sauté for about 3–4 minutes until they become translucent and fragrant.
Incorporate broccoli florets into the skillet, cooking for an additional 2 minutes until slightly tender yet vibrant in color.
Stir in minced garlic along with Italian seasoning and orzo pasta, allowing them to toast together for around 30 seconds to release their flavors.
Pour in chicken broth, heavy cream, and Worcestershire sauce while stirring well. Bring the mixture to a boil before reducing heat to a simmer.
Let it cook uncovered for about 10 minutes, stirring often until the orzo is al dente and has absorbed most of the liquid.
Once cooked, stir in shredded chicken until heated through. Remove from heat and fold in shredded cheddar cheese until fully melted.
Season with salt and pepper according to your taste preferences. Allow it to sit for 2–3 minutes before serving so it can thicken up nicely.