The Gerudo Fabric is a key item from Tears of the Kingdom.
Tears of the Kingdom
"Tough fabric bearing a Gerudo design. It looks like it could be used to make a paraglider."
After the Sand Shroud is dispelled, the Desert Race reopens. Normally just for Gerudo soldiers, Sudrey makes an exception for Link. If he makes it to the end in less than 2 minutes and 30 seconds, he wins the Gerudo Fabric.