Toss the shrimp with the sun-dried tomato oil, 1/2 teaspoon salt, 1/4 teaspoon black pepper, and smoked paprika until evenly coated.
Heat a large skillet or sauté pan over medium heat. Add the seasoned shrimp and cook just until pink and cooked through, turning as needed. Transfer the shrimp to a plate and set aside.
If the shrimp released excess liquid, carefully drain it and quickly wipe the pan dry.
Add the butter to the pan and allow it to melt. Add the minced garlic and crushed red pepper flakes. Sauté for about 2 minutes over medium heat, stirring frequently.
Pour in the chicken broth and heavy cream. Add the sun-dried tomatoes, orzo, Italian seasoning, remaining 1/4 teaspoon salt, and remaining 1/4 teaspoon black pepper.
Bring the mixture to a gentle simmer. Reduce the heat to low, cover, and cook for about 10 minutes, stirring occasionally, until the orzo is tender.
For this One Pot Marry Me Shrimp and Orzo Pasta, stir the Parmesan cheese and baby spinach into the cooked orzo. Continue stirring until the spinach wilts and the cheese melts into the creamy sauce.
Taste and adjust the seasoning as needed.
Return the cooked shrimp to the pan and gently stir to combine. Garnish with fresh parsley or sliced basil before serving.