Combine the chicken breasts, chicken broth, 2 cups of water, carrots, parsnips, celery, onions, Parmesan rind, curry powder, 1 teaspoon salt and a few grinds of black pepper in the insert of a 6-quart slow cooker. Cook on low for 8 hours.
Remove the chicken breasts. When cool enough to handle, shred the meat (discard the bones) and add back to the soup; add the peas and dill. Season with salt and pepper.
Serve in soup bowls with a sprinkle of Parmesan and a squeeze of lemon.
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