Final answer:
Lil Hardin is the Traditional Jazz pianist renowned for her arranging, band leading, and vocal skills, distinguishing her from her female contemporaries.
Step-by-step explanation:
The female Traditional Jazz pianist known for her arranging, band leading, and vocal skills, which set her apart from most female musicians of her time, is Lil Hardin. Lil Hardin was a prominent figure in the jazz world and contributed significantly as a pianist, a composer, and a bandleader. She was not only skilled with the piano but also had remarkable vocal abilities, which complemented her musicianship. Her talents positioned her as a key figure in the development of early jazz music. Among her contributions, perhaps most notably, was her influence on the career of her husband, Louis Armstrong, whom she encouraged to pursue a solo career and for whom she wrote songs.
During the Harlem Renaissance, blues and jazz saw significant growth, with artists like Bessie Smith, also known as "The Empress of the Blues," making an indelible mark on music history. While Bessie Smith was renowned for powerful songs like 'Nobody Knows You When You're Down and Out', Lil Hardin distinguished herself in the world of jazz through her musicianship and leadership.