Hilda Sehested (1858–1936) was a Danish composer. She was born in Funen, Denmark, of parents Niels Frederik Bernhard Sehested (1813–82), an archaeologist, and Charlotte Christine Linde (1819–94). She studied music with C. F. E. Horneman in Copenhagen and later with Louise Aglaé Massart (1827-1887) in Paris. She studied organ with Ludvig Birkedal-Barfod and composition with Orla Rosenhoff, and began composing at the age of 30.
Sehested's mother died in 1894, and she moved to Copenhagen to live with her sister Thyra. She became engaged to archaeologist and museum director Henry Petersen there, but he died before the wedding. Shocked by his death, Sehested took a job as a nurse for a while and then as a church organist, and eventually returned to composing. She died in Copenhagen.