In a mixing bowl, combine the mayonnaise and mustard. Stir well to ensure they are thoroughly mixed.
Add sweet paprika and Cajun or Creole seasoning (start with 1 teaspoon and add more to taste later). Mix until the sauce takes on a uniform color.
Incorporate the prepared horseradish, pickle juice, hot sauce, and minced garlic into the mixture. Stir well to distribute the flavors evenly.
Taste the sauce and adjust the Cajun or Creole seasoning according to your preference. If you prefer it spicier, add more seasoning or hot sauce.
Once satisfied with the flavor, cover the bowl and refrigerate the Remoulade Sauce for at least an hour to allow the flavors to meld.
Serve chilled as a dipping sauce for grilled meats, seafood, or as a flavorful spread for sandwiches.