Cook your rice according to package instructions and set it aside.
Prepare the vegetables. Peel and grate the carrots and finely chop the broccoli florets. Dice the onion and grate the cheese.
In a deep large pot, warm up 1 tablespoon of olive oil then add the onions and sauté for 5 minutes.
Add 2 tablespoons of flour and stir for 2 minutes then deglaze with ½ a cup of vegetable broth.
Season with a teaspoon of oregano, ground black pepper then add the carrots and the broccoli.
Add the remaining vegetable broth and bring it to a boil then let it simmer for 10 minutes.
Add 1 cup of heavy cream followed by the grated cheddar cheese. Take one cup of your cooked rice and add it to the broccoli soup. Stir everything together until the cheese melts.
Do a taste test and add some salt if needed then your broccoli rice soup is ready to be enjoyed