Melt the butter in the Instant Pot or saucepan.Add in garlic and red pepper flakes and cook until the garlic is slightly browned 1-2 minutes.Add the paprika and then the frozen shrimp, salt, pepper, and noodles.Pour in the broth.
If using broth, don't add salt above.Cook under pressure for 2 minutes an use quick release.Turn the pot to Saute, add in half and half and cheese, and stir until melted.