Add broth: Pour in the vegetable or chicken broth, then bring the mixture to a simmer. Let it cook for about 15 minutes or until the broccoli is tender.
Thicken the soup: Mix the flour with a bit of the cream in a small bowl to create a slurry. Gradually whisk in the remaining cream and add to the pot.
Stir in cheese: Reduce the heat to low and sprinkle the shredded cheddar cheese into the soup. Stir until it melts.
Season the soup: Season with salt, pepper, and nutmeg (if using) to taste.
Serve warm: Once everything is well combined, remove from heat and serve.
Notes
Pairs beautifully with a side salad or a warm bread bowl. Can be made a day in advance and reheated.