Heat the olive oil in a large Dutch oven or heavy bottomed soup pot on medium-low heat.
2 Tbsp. olive oil
Add in the carrots, onions, broccoli & broccoli stems and cook on medium-low to sweat the veggies. This will take ~12-14 minutes. Add the kosher salt about half way through the sweating process.
1 cup matchstick/julienned carrots (1/8th inch size), 1 small yellow onion, diced, 3 cups broccoli (2 cups diced very small, 1 cup leave larger florets), 1 cup broccoli stems, diced small, 1 tsp. kosher salt, plus more to taste
Add the garlic and stir until fragrant ~1 minute.
1 1/2 tsp. garlic, minced
Pour in the broth, half and half, mustard, sugar, hot sauce, paprika and turmeric. Stir. Turn the heat up to medium-high.
3 cups chicken broth, 2 cups half and half, 1 Tbsp. Dijon mustard (I like Grey Poupon), 1 Tbsp. granulated sugar, 1 tsp. hot sauce, 1 1/2 tsp. paprika, 1/4 tsp. turmeric
Add in both cheeses and stir until the cheeses melt. Bring to a boil then turn the heat back down to a simmer. (Be sure to stir frequently so the cheese doesn’t stick to the bottom).
8 oz. sharp cheddar cheese, shredded, 6 oz. Velveeta cheese, cut into cubes
Whisk in the cornstarch slurry and simmer until thickened. Taste and adjust seasonings as desired (more hot sauce, salt, add pepper, etc.)
1 1/2 Tbsp. cornstarch + 1 1/2 Tbsp. water
Enjoy in a bowl garnished with more cheese and black pepper or serve in a bread bowl and dive into this goodness!