01 -
Place reserved shrimp shells in a saucepan with 4 cups of water. Bring to a boil, reduce to a simmer and cook for 30 minutes. Strain the broth through a sieve, discard shells, and adjust volume to 4 cups with water if necessary. Reserve.
02 -
Heat olive oil in a heavy-bottomed 4-quart saucepan over medium heat. Add diced shallots and cook gently until softened but not browned, about 3-4 minutes. Add minced garlic and cook for an additional minute.
03 -
Stir in cayenne pepper and add shrimp. Cook until shrimp turn pink, about 3-4 minutes. Remove 6 shrimp for garnish. Add brandy and cook for 1-2 minutes to reduce. Pour in sherry and simmer for 3 minutes.
04 -
Transfer shrimp and aromatics in batches to a blender and purée until smooth. Handle hot liquids carefully, filling blender no more than halfway and allowing steam to escape. Set aside pureed mixture.
05 -
Melt butter in the saucepan over medium-low heat. Whisk in flour and cook for 1 minute to form a roux. Gradually whisk in heavy cream and whole milk until thick and smooth.
06 -
Add shrimp broth, pureed shrimp mixture, tomato paste, salt, and white pepper to the roux. Heat gently while whisking constantly, ensuring the bisque does not boil to prevent curdling. Adjust heat as needed until hot.
07 -
Ladle bisque into bowls. Top each serving with a reserved shrimp and sprinkle with chopped parsley. Finish with a tablespoon of truffle oil drizzle per serving.