Whisk in flour and keep whisking 2-3 minutes to let the flour taste cook off.
Slowly whisk in milk until the temperature comes to a low boil and the sauce thickens. Turn heat to low and add in the freshly grated Cheddar and cream cheese.
When all is melted beautifully, add it to the broccoli and broth. Heat on low until thickened, stirring occasionally to keep it from scorching.
Recipe by That Which Nourishes at https://thatwhichnourishes.com/easy-cheesy-broccoli-soup/