I think Madelaine Peyroux is a jazz and blues singer who tends to divide opinion. She obviously sounds like Billy Holiday; some say she is just a pale imitation but I think she a genuine article. Listen to her singing Careless Love and judge for yourself. She grew up in Brooklyn, New York but by the age of sixteen she was singing for her supper in Paris and toured around Europe honing her craft and living by 'passing the hat'. Among her influences she cites Billie Holiday, Bessie Smith, Edith Piaf, Leonard Cohen and Bob Dylan.
If she is an 'acquired taste' then I have that taste and I like it!