Step 1: Build the Aromatic Base
In a large pot or Dutch oven with a tight-fitting lid, melt the 2 tablespoons of butter or olive oil over medium heat. Add the finely diced yellow onion and a pinch of salt. Sauté for 5-7 minutes, stirring occasionally, until the onion becomes soft, translucent, and slightly sweet. Add the minced garlic and cook for another minute until fragrant. Be careful not to burn the garlic, as it will turn bitter.

Step 2: Toast the Rice
Add the rinsed and drained long-grain white rice to the pot. Stir constantly for about 2 minutes, allowing the rice to “toast” in the butter and aromatics. This step is crucial; it gives the rice a slightly nutty flavor and helps the grains remain separate and fluffy after cooking.

Step 3: Deglaze and Simmer
Pour in about a half-cup of the gluten-free broth to deglaze the pot, scraping up any browned bits from the bottom with a wooden spoon. This is where a lot of the flavor is. Stir in the remaining broth, smoked paprika, and dried mustard powder. Increase the heat to high and bring the mixture to a rolling boil.

Step 4: Cook the Rice
Once boiling, give it one final stir, then reduce the heat to the lowest possible setting. Cover the pot with a tight-fitting lid and let it simmer for 15 minutes. Do not lift the lid during this time. The steam trapped inside is essential for cooking the rice evenly.

Step 5: Steam the Broccoli
After 15 minutes, the rice should have absorbed most of the liquid. Quickly remove the lid and scatter the bite-sized broccoli florets evenly over the top of the rice. Immediately replace the lid and let it continue to cook on low for another 5-7 minutes. The residual steam will perfectly cook the broccoli, leaving it tender-crisp and bright green.

Step 6: Create the Velvety Cheese Sauce
Turn off the heat completely. Remove the lid and gently pour the 1 cup of milk over the broccoli and rice. Now, add the freshly grated sharp cheddar cheese.

Step 7: The Final Stir
Using a spatula or wooden spoon, gently fold everything together. Stir until the cheese is completely melted and has formed a creamy, luscious sauce that coats every ingredient. The residual heat from the rice and the pot is all you need to melt the cheese perfectly. Overheating at this stage can cause the cheese to become oily or grainy.

Step 8: Rest and Serve
Let the dish rest for 5 minutes off the heat. This allows the sauce to thicken slightly and the flavors to meld together. Taste and adjust seasoning with additional salt and freshly ground black pepper if needed before serving warm