In a large pot, bring salted water to a rolling boil. Add the linguine and cook according to the package instructions until al dente, usually about 8-10 minutes. Once done, drain the pasta and set it aside, making sure to reserve a little pasta water in case you need to adjust the sauce later.
In a mixing bowl, toss the peeled and deveined shrimp with Cajun seasoning, ensuring each shrimp is generously coated with the spices for that bold flavor.
In a large skillet, heat the olive oil over medium-high heat. Once hot, add the seasoned shrimp in a single layer. Cook for approximately 2 minutes on each side, or until the shrimp turn a lovely pink color and are fully opaque. Once cooked, remove the shrimp from the skillet and set aside on a plate.
In the same skillet used for the shrimp, add the minced garlic and sauté for about 30 seconds, just until fragrant. Be careful not to let it burn. Next, add the halved cherry tomatoes to the skillet and cook for an additional 2-3 minutes, allowing them to soften and release their juices.
Pour the heavy cream into the skillet, stirring gently to combine with the tomatoes. Bring the mixture to a gentle simmer. Gradually incorporate the grated Parmesan cheese, stirring continuously until melted and the sauce is smooth. Season with salt and freshly ground black pepper to your liking.
Add the cooked pasta and sautéed shrimp back into the skillet, tossing everything together until the pasta and shrimp are thoroughly coated with the creamy sauce and heated through, about 1-2 minutes. If the sauce is too thick, add a splash of reserved pasta water to reach your desired consistency.
Remove from heat and transfer to serving plates. Garnish with chopped fresh parsley for a pop of color and freshness.
Notes
Serve in shallow bowls and add extra Parmesan cheese and lemon juice for a zesty kick.