Who is the first Indian woman to win the Grammy Award?

Tanvi Shah

The correct answer is Option (4) → Tanvi Shah

The first Indian woman to win a Grammy Award is Tanvi Shah.

She won the Grammy in 2010 for "Best Song Written for Motion Picture or Other Visual Media" for her contribution to the song "Jai Ho" from the movie "Slumdog Millionaire."

She specifically wrote the Spanish lyrics for the song, which was awarded alongside A.R. Rahman (composer) and Gulzar (lyricist).