Heat the ghee in a large heavy-bottomed pot over medium heat.
Add the finely diced yellow onion and celery, sautéing for 5-7 minutes until the vegetables are soft and translucent.
Stir in the tomato paste, sea salt, black pepper, and smoked paprika, cooking for another 2 minutes to toast the spices.
Pour in the dry sherry to deglaze the pan, using a wooden spoon to scrape up any flavorful browned bits from the bottom.
Add the seafood stock and bring the mixture to a gentle simmer for 10 minutes to allow the flavors to meld.
Using an immersion blender, process the soup base until it is completely smooth and creamy.
Reduce the heat to low and stir in the full-fat coconut milk and the cooked lobster meat.
Warm the bisque through for 3-5 minutes without letting it reach a boil, then serve immediately garnished with fresh chives.