In a large pot, heat a little oil over medium heat.
Add onions, carrots, and celery; sauté until softened (about 5 minutes).
Stir in the garlic and cook for another minute.
Add shredded turkey to the pot and mix well.
Pour in the chicken broth and bring to a boil.
Add thyme, bay leaf, salt, and pepper to taste.
Reduce heat and let simmer for 20 minutes.
Stir in the green peas and cook for an additional 5 minutes.
Remove the bay leaf before serving.
Serve hot and enjoy your comforting turkey soup!