How to Make It
Pour oil to a depth of 3 inches in a Dutch oven; heat over medium-high to 350°F.
Stir together jalapeño, shallot, egg, flour, cream, chives, lemon zest, salt, and black pepper in a large bowl until just combined. Gently fold in crawfish tail meat.
Working in batches, drop batter by rounded tablespoonfuls into hot oil, and fry until golden brown, about 2 minutes per side. Drain on a wire rack over paper towels. Stir together powdered sugar and cayenne pepper; dust fritters with powdered sugar mixture just before serving.