Place the crawfish tail meat in a bowl and toss evenly with the Cajun seasoning. Set aside.
½ pound crawfish tail meat, 1 tablespoon Cajun seasoning
Heat the vegetable oil and butter in a large skillet over medium heat. Once melted, stir in the flour. Cook, stirring constantly, for 6 to 8 minutes, until the roux turns a peanut-butter color.
1 tablespoon vegetable oil, ⅓ cup butter, ⅓ cup all-purpose flour
Stir in the onion, bell pepper, celery, thyme, and garlic. Cook for 3 to 4 minutes, until the vegetables begin to soften.
1 small onion, ½ cup green bell pepper, 2 ribs celery, ¼ teaspoon dried thyme leaves, 4 cloves garlic
Gradually stir in the chicken broth, mixing well to keep the sauce smooth. Add the tomatoes, Worcestershire sauce, and bay leaves.
3 cups chicken broth, 2 cups fresh tomatoes, 3 tablespoons Worcestershire sauce, 2 bay leaves
Bring the mixture to a gentle boil, then reduce the heat and simmer uncovered for about 20 minutes. Season with salt and black pepper to taste.
Salt and black pepper
Gently stir in the seasoned crawfish tails along with any juices. Cook just until heated through, being careful not to overcook the crawfish.
Remove the bay leaves. Stir in the lime juice, then garnish with green onions and fresh parsley. Serve hot, traditionally over steamed rice.
¼ cup green onions, ¼ cup fresh parsley, ½ lime juice