Bring a large pot of salted water to a boil and cook the tortellini according to package instructions until al dente; drain and set aside.
Heat a large skillet over medium heat and add the olive oil and sun-dried tomato oil.
Add the minced garlic and sauté about 1 minute until fragrant, taking care not to brown it.
Add the shrimp to the skillet and sauté until they are almost cooked through, about 2–3 minutes depending on size.
Stir in the whipping cream, chicken broth, paprika, salt, sugar, and black pepper; bring the sauce to a gentle simmer.
Add the sliced sun-dried tomatoes and cooked tortellini to the skillet; toss to combine and heat through for 1–2 minutes.
Stir in chopped parsley, taste and adjust seasoning if needed, then serve immediately.