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Cook bacon in a 5-quart Dutch oven or soup pot over medium-high heat until browned and crispy. Transfer bacon to a paper towel lined plate.
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Add olive oil if needed to make 2 tablespoons of fat/oil in the pot. Reduce heat to medium. Add onions and cook until soft and translucent, about 5 minutes. Add garlic and cook until fragrant, about 1 minute.
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Add corn, potatoes, hatch chiles, broth, salt, cumin, and chile powder. Stir to combine and bring to a boil. Reduce to a simmer and cook until potatoes are tender, about 20 minutes.
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Transfer 1/3 of the chowder to a blender and puree. Return puree to the pot. Stir in shrimp and cook until shrimp are cooked through, about 4 minutes. Stir in cream.
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Crumble bacon and serve as a garnish or stir in just prior to serving.