Lightly brush the fillets on both side with ½ teaspoon of the oil and arrange them in a single layer on a foil lined cookie sheet.
To make the sauce, place the water, lemon rind, tarragon, vinegar, shallots, salt and pepper, garlic and the remaining 2 ½ tablespoons oil in a small bowl. Mix well.
Preheat the broiler. Place the fillets under the broiler so they are no more that 2” from the heat. Broil for 5 minutes or until all cooked. Remove from the oven, cover and set aside for 2 minutes.
To serve place a fillet on each plated. Drizzle about 1 ½ tablespoon of sauce on each fillet.