Smoked Turkey and Spring Pea Fettuccine

Set a heavy skillet over medium heat and pour olive oil into the skillet. Cook and stir garlic and shallot in the hot oil until fragrant, about 30 seconds. Add smoked turkey to skillet; cook and stir until heated, about 1 minute.
Pour heavy cream into the skillet and raise heat to medium-high; bring sauce to a boil. Season with salt, black pepper, and cayenne pepper. Reduce heat to medium-low and simmer until sauce has thickened slightly, about 5 minutes.
Fill a large pot with lightly salted water and bring to a rolling boil. Stir in the fettuccine, bring back to a boil, and cook pasta over medium heat until cooked through but still firm to the bite, 7 to 8 minutes. Drain.
Turn heat under cream sauce to low and stir in peas; toss fettuccine with sauce until coated. Mix in tarragon and lemon zest and cook until flavors have blended, about 1 minute. Adjust seasonings if desired. Serve in bowls and sprinkle each serving with about 3/4 teaspoon Parmigiano-Reggiano cheese for garnish.