We would recommend handwashing of your tencel® fabric, but it is also possible to stick to the washing machine. Here choose a the delicate cycle in cold water with low spins.
If you wanna use a tumble dryer afterwards make sure to choose the medium setting. Other than that you can dry it by hanging it on the clothesline.
Tencel® is resistant to wrinkles. But if any wrinkles should appear, steam it for the best and safest finish.