Preheat the grill to 375°.
Clean and devein the shrimp (this can be done ahead of time). Leave the tails on the shrimp.
Slice and chorizo into 1/2-inch thick medallions.
Thread the shrimp and chorizo onto wooden or metal skewers.
Mix the red pepper flakes with olive oil and brush the shrimp and chorizo skewers on both sides.
Place the skewers on the grill and cook until the shrimp turn opaque which will take about 4 minutes per side depending on the temperature of the grill.
Serve hot or at room temperature.