How to Make It
Melt butter in a saucepan over medium. Whisk in flour until combined. Reduce heat to medium-low, and cook, stirring constantly, until roux is pale brown, about 10 minutes. Add onion, bell pepper, celery, garlic, tomato, salt, black pepper, and cayenne pepper, and cook, stirring occasionally, 5 minutes. Increase heat to medium-high. Whisk in stock, thyme, bay leaves, and 1/4 cup cooking wine, and cook 10 minutes. Add half of crawfish, and cook 2 minutes.
Transfer mixture to a blender, and process until smooth, 30 seconds. Return to pan, and place over medium-low. Stir in cream, lemon juice, hot sauce, and remaining crawfish and 1/4 cup cooking wine. Bring to a low simmer, and cook until heated, about 5 minutes. Spoon into six bowls, and top with chives.