How many female directors have been nominated for an Academy Award?

One female director has been nominated for an Academy Award.

Lina Wertmuller was nominated for Seven Beauties in 1976.

She didn’t win.

Did Lillian Gish ever receive an Oscar? In 1970, Lillian Gish received a special Oscar for her cumulative work, then spanning nearly sixty years. She began making films in 1912; in 1987, she appeared in The Whales of August.
Who created the Academy Award statuette? Hollywood art director Cedric Gibbons designed the Academy Award statuette. It was executed by sculptors George Stanley and Alex Smith. The statuette, then and now, is 13.5 inches tall and depicts a naked…
What two horror directors appear in The Silence of the Lambs (1991)? Directors Roger Corman and George A. Romero appear in The Silence of the Lambs (1991). Jonathan Demme directed them.
What was Robert Redford’s directorial debut? Robert Redford's directorial debut was Ordinary People in 1980.
What part did director Ken Russell play in The Russia House (1990)? Director Ken Russell played the spy master Walter in The Russia House (1990).
What is the name of the “no-win” test that Lieutenant Saavik (Kirstie Alley) fails at the beginning of Star Trek II: The Wrath of Khan (1982)? The Kobayashi Maru was the name of the "no-win" test that Lieutenant Saavik (Kirstie Alley) fails at the beginning of Star Trek II: The Wrath of Khan (1982).