Grease your slow cooker and place all the veggies and seasonings in. Place the chicken breasts over the top of the veggies then pour in the broth. Place the lid on, set the heat to low and cook for about 6 hours, until everything is tender and the chicken is cooked through.

Use two forks to shred the chicken. Then stir in the frozen corn and peas. In a small measuring glass, whisk together the flour and the cream until it's relatively smooth, then stir that mixture into the slow cooker. Place the lid back on and let it cook for another 45-60 minutes, until it has thickened up and the flour taste has cooked off. Taste for any additional seasoning you'd like to add, then serve.