I toss my crawfish tails with a bit of Cajun seasoning right at the start so the flavor has time to settle in. If you're using leftover seasoned crawfish from a boil, go lighter here since they're already flavorful. Set the tails aside while you work on the vegetables.
Dice the onion, celery, and bell pepper, then slice your mushrooms and mince the garlic. In a small bowl, whisk your flour or cornstarch with a couple tablespoons of water until smooth. Having this ready means the sauce won't stall once it's cooking.
Melt the butter with the olive oil in a large skillet over medium heat. Add the onion, celery, and bell pepper, cooking until they soften and turn translucent. This usually takes about five minutes, and your kitchen will already smell amazing.
Stir in the sliced mushrooms and let them cook until they release their moisture and start to brown. Add the minced garlic during the last minute so it doesn't burn. This step builds a deep, savory base for everything that follows.
Pour in the white wine or sherry, scraping up any browned bits stuck to the bottom of the pan. Let it simmer until it reduces by about half. This little step pulls all that flavor back into the sauce instead of leaving it behind.
Stir in the Worcestershire sauce, remaining Cajun seasoning, and lemon juice. Add a pinch of salt and pepper, but go easy since your seasoning blend may already carry some salt. Give everything a good stir to combine.
Add your flour or cornstarch slurry to the pan and cook briefly until it coats the vegetables. Slowly pour in the heavy cream and stock while stirring constantly. Keep the heat gentle here so the cream doesn't break or separate.
Lower the heat and let the sauce simmer gently, stirring now and then, until it thickens enough to coat the back of a spoon. This usually takes eight to ten minutes. Add a splash more stock if it gets too thick, or let it simmer longer if it's too thin.
Stir the seasoned crawfish tails into the simmering sauce and cook just until warmed through. Taste and adjust the seasoning if needed. Finish with sliced green onions and serve it right away while it's warm and glossy.