Slice chorizo into 1/4” rounds. Fry, and when done, drain well. Often, I will rinse them in hot water, to remove most of the grease.
Boil tortellini as per package instructions. Rinse when cooked.
Melt butter in small saucepan on med heat. Add flour one Tbsp at a time, blending well each time. When fully combined, add milk, stir and heat until sauce begins to thicken.
Add shredded cheese, and blend until melted.
Combine chorizo, tortellini and cheese sauce.