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Step 1
Season the shrimp with salt and pepper. Using 2 large saute pans, heat the oil until it begins to smoke. Over very high heat, saute the shrimp for 6 to 7 minutes. Transfer to a warm plate, set aside, and keep warm.
Step 2
To each saute pan, add 1 minced shallot and 1 tablespoon minced tarragon. Saute for 2 to 3 minutes. Deglaze each pan with the sherry and then combine the sauce in one pan. Add the cream and reduce the sauce until it coats the back of a spoon. Whisk in the butter, 1 small piece at a time. Whisk in the mustard, just at the last minute. Do not let the sauce boil, or the mustard will become grainy. Correct seasoning to taste.
Step 3
Arrange the shrimp decoratively on serving plates, nap with sauce, and sprinkle with chives.