Melt the ghee in a heavy-bottomed pot over medium heat.
Add the minced shallots, celery, and carrots, sautéing until the vegetables are soft and translucent.
Stir in the tomato paste and smoked paprika, cooking for 1 minute to toast the spices and deepen the color.
Carefully pour in the dry sherry to deglaze the pan, scraping the bottom with a wooden spoon to release any flavorful bits.
Add the lobster stock and bring the mixture to a gentle simmer for 10 minutes to meld the flavors.
Using an immersion blender, carefully purée the soup until it reaches a silky, completely smooth consistency.
Whisk in the heavy cream and season with sea salt and black pepper.
Add the cooked lobster meat to the pot and heat gently for 2-3 minutes until just warmed through.
Ladle the bisque into bowls and garnish with finely chopped fresh chives before serving.