Melt 1 tablespoon butter in a large skillet over medium-high heat; add 1 pressed garlic clove and cook 30 seconds.
Stir in 1 tablespoon flour and cook 1 minute, then gradually whisk in 1/2 cup of the chicken broth until smooth.
Add 1/2 cup heavy cream, 3 tablespoons sun-dried tomato slivers, 1 tablespoon tomato oil, 1/4 teaspoon dried thyme, 1/2 teaspoon salt, and 1/4–1/2 teaspoon crushed red pepper; bring to a boil and cook 1 minute.
Pour the sauce into a small bowl and set aside, then wipe the skillet clean.
Add the tablespoon of sun-dried tomato oil to the skillet and heat over medium-high; sauté the flattened chicken breasts until browned and cooked through, about 4 minutes per side.
Transfer the cooked chicken to a plate and keep warm.
Add the remaining 1/4 cup chicken broth to the skillet and bring to a boil, scraping up any browned bits with a wooden spoon.
Stir the reserved sauce back into the skillet, return the chicken to the pan, and warm through briefly; remove from heat.
Toss the cooked farfalle (8 ounces) with 1 cup cooked peas and divide among 4 plates; top each with a chicken breast and spoon the sun-dried tomato sauce over the top.