As skr pointed out, the body wasn’t washed. It was placed in a grave quickly to be done before sundown (which marked the start of the Sabbath.) The women were on their way to prepare the body for burial when they discovered the empty tomb.
https://www.youtube.com/watch?v=P0wsbxJGuus&t=204s
Watch this and then tell me the shroud is not real.
Cannot locate part 1.