Tear the baguette into pieces, then transfer to a food processor with the chili sauce, horseradish, vinegar, cumin, garlic, tomato and 1/2 teaspoon each salt and pepper. Process until smooth. With the motor running, slowly pour in the oil and blend until well combined.
Transfer the sauce to a small bowl and sprinkle with the chives if using. Serve with the shrimp.
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