In a large pot, heat a tablespoon of oil over medium heat. Add the diced onion, minced garlic, and ginger. Sauté for 2-3 minutes, until fragrant and the onion is translucent.
Add the sliced carrots and bell pepper to the pot, cooking for an additional 3 minutes until slightly softened.
Pour in the chicken broth and water. Bring the mixture to a boil. Season with salt and pepper.
Once boiling, add the chicken breasts to the pot. Reduce the heat to a simmer, cover, and let cook for 15-20 minutes, or until the chicken is cooked through.
Remove the chicken from the pot and shred it using two forks. Return the shredded chicken to the pot.
Stir in the Sriracha sauce and soy sauce. Taste and adjust seasoning as desired, adding more Sriracha for extra heat if preferred.
Add the snap peas and rice noodles. Cook for about 4-5 minutes, or until the noodles are tender and the peas are bright green.
Serve hot, garnished with sliced green onions and cilantro. Offer lime wedges on the side for a burst of freshness.
Notes
Adjust the amount of Sriracha sauce to taste for desired spiciness.