Cook the cheese tortellini according to package instructions. Drain and set aside, reserving 1/4 cup of the pasta water.
In a large skillet over medium heat, cook the chopped bacon until crispy, about 5-7 minutes. Remove the bacon and drain on paper towels, leaving the bacon fat in the skillet.
Add the olive oil and minced garlic to the skillet. Sauté for 1-2 minutes until fragrant, being careful not to burn the garlic.
In a bowl, whisk together the egg, Parmesan cheese, heavy cream, and reserved pasta water until smooth. Season with salt and pepper.
Add the cooked tortellini to the skillet with the garlic and bacon fat, tossing to coat. Remove the skillet from heat and quickly pour in the egg mixture, stirring constantly to create a creamy sauce.
Stir in the crispy bacon and mix until well combined. If the sauce is too thick, add a little more reserved pasta water to reach desired consistency.
Serve immediately, garnished with fresh parsley.