In a large pot, melt the butter over medium heat. Add the diced onion, celery, and red bell pepper. Sauté for about 5-7 minutes until the vegetables are soft and translucent.
Stir in the minced garlic, Cajun seasoning, dried thyme, and cayenne pepper. Cook for an additional 1-2 minutes until fragrant.
Pour in the chicken broth and bring the mixture to a boil. Reduce heat and let it simmer for 10 minutes.
Add the corn kernels and shrimp to the pot. Cook for another 5-7 minutes, or until the shrimp are pink and cooked through.
Stir in the heavy cream and season with salt and pepper to taste. Heat through but do not boil.
Serve hot, garnished with chopped parsley.