In a large skillet, heat the olive oil over medium heat. Add the diced onion and sauté for about 3-4 minutes until translucent. Add the minced garlic and cook for an additional 1 minute until fragrant.
Stir in the shredded chicken, diced carrots, and frozen peas. Cook for 5 minutes, stirring occasionally.
Pour in the chicken broth and heavy cream. Add the dried thyme, dried rosemary, salt, and pepper. Bring the mixture to a simmer and let it cook for 5-7 minutes until the carrots are tender.
Stir in the cooked orzo and mix well. Cook for another 2-3 minutes until everything is heated through.
Remove from heat and stir in the shredded cheddar cheese until melted and creamy.
Serve hot, garnished with chopped fresh parsley.