Place a large heavy-bottomed pan over medium high-heat and add the oil. Sprinkle the shrimp with salt and, working in batches, cook until they begin to turn pink on both sides, 3 to 5 minutes. Repeat with the remaining shrimp and set aside.
Add the garlic, carrots, fennel and onions with a large pinch of salt and cook, stirring occasionally until the vegetables soften and begin to caramelize, about 5 minutes.
Stir in the crushed red pepper flakes if using. Add in the white wine and tomatoes and bring to a simmer. Cook, partially covered, until the sauce has thickened and the liquid is reduced, at least 20 minutes. Season with salt and pepper and stir the shrimp back in.
Before serving, stir in some tarragon.
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