1. In a large pot, on medium heat, add the olive oil on medium heat onion, pepper, and thyme. Cook, stirring often for 5 minutes, or until softened.
2. Next add the garlic and cook for another minute, then sprinkle in the flour and whisk continuously for 1 to 2 minutes, or until the flour turns golden. Slowly pour in the milk, whisking continuously.
3. Add the broth, broccoli, carrot, and mustard to the pot and stir to combine. Simmer for 20 minutes, or until the vegetables are tender.
4. Slowly add the almond milk, cheese and nutritional yeast, stirring after each addition, until all the cheese is melted. Let cool and blend with an immersion blender or blender.