Boil eggs in boiling water for about 10 minutes until hard, drain and quench. Peel and finely dice the shallot. Wash tarragon, dab dry, put something aside for garnishing. Chop remaining leaves.
Peel and coarsely grate the apple. Peel eggs and pass through a sieve. Mix with oil, mustard and red wine to a smooth sauce and season with salt and Tabasco. Keep cool until serving.
Garnish with remaining tarragon.