Bring a large pot of salted water to a boil. Cook linguine until al dente. Reserve ½ cup pasta water, then drain pasta and set aside.
While pasta is cooking, heat olive oil in a large, deep skillet over medium heat. Add shrimp, garlic, blackened seasoning, and black pepper to the pan. Cook shrimp for 3-4 minutes per side, until blackened. Remove shrimp from the pan and set aside.
Add crushed tomatoes to the pan over low heat. Add heavy cream and parmesan cheese and stir well, until combined. Cook for 2-3 minutes, until gently simmering. Add shrimp and pasta to the pan and toss. If sauce is too thick, add reserved pasta water 1 tablespoon at a time as needed.
Top with additional parmesan cheese and Italian parsley and serve.
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