In a paella pan (or large skillet) add oil and heat over a medium heat. Add in onions and sauté for about 5 minutes until onion is softened, add in garlic and go until garlic is fragrant, about 30 seconds.
Add tomato paste and stir in until completely combined and onions are coated. Add in all of the seasonings, and the chicken broth. Stir until combined bring to a boil, turn down heat and allow to simmer for 10 minutes.
Add in sliced chorizo and cook another 5 minutes, lastly stir in the shrimp and cook for another 5 to 10 minutes, until shrimp is done.
Notes
Use dried and cured Spanish Chorize, not Mexican ground chorizo.