I first learned how to make Shrimp Creole early on in my career, and now, it's something I love to cook for my family. This may not be one of those 200-year-old Louisiana recipes, but it's rooted in classic Creole cooking. You get all the flavor of a stew or braise, but you can put it on the table, start to finish, in less than an hour.
In a large, heavy-bottomed pot or Dutch oven, heat the olive oil over medium-high heat. Add the onions and garlic and sweat until tender and very aromatic, about 5 minutes. Add to the pot the red pepper, celery, and jalapeño and continue to cook until tender. As soon as you notice the vegetables starting to caramelize, add white wine to deglaze. Lightly season with salt and white pepper. Reduce the white wine until it has almost completely evaporated; then add the tomato purée and stir to combine.
Lower the temperature as much as you can, and add the shrimp. Keeping the heat on low, continue gently stirring to poach the shrimp in the sauce, scraping the sides of the pot to keep them clean. (The low-and-slow cooking will keep them tender.) Once the shrimp are cooked through and opaque, add the juice of one lemon, chives, and parsley; stir to combine. Season to taste with more salt and white pepper and serve over hot rice.