The invention relates to a method of manufacturing a tail structure for a rotary wing aircraft, the structure comprising:
a tubular portion or duct (63) presenting two ends and including two collars or flanges (66, 70) extending respectively from each of said two ends; and
two curved fairing side walls (45, 47) extending respectively around the two collars or flanges; said two side walls being made of a composite material comprising an organic matrix and reinforcement; in a method of the invention, the side walls are united by solidifying the matrix.