In a large pot, heat the olive oil over medium heat. Add the diced onion and sauté for about 5 minutes until translucent.
Stir in the minced garlic, sliced carrots, and celery. Cook for an additional 5 minutes, stirring occasionally.
Add the dried thyme and oregano, stirring to combine.
Pour in the chicken broth and bring the mixture to a boil.
Once boiling, reduce the heat to a simmer and add the shredded chicken and frozen peas. Cook for about 10 minutes until the peas are tender.
Stir in the chopped arugula and lemon juice. Season with salt and pepper to taste.
Serve hot, garnished with lemon wedges for an extra burst of flavor.