Hand wash in cool water with liquid dishwashing soap (Dawn/Joy soap), NO bleach. Use minimum agitation, do not let soak long term, rinse in cool water. Wrap in towel and press to eliminate excess water (silk does not like to be rung out), and hang dry over a plastic chair.
If needed, iron on reverse side (artist signature will be backwards/matte side of fabric) on silk setting with steam. Steam is what removes the wrinkles. You may prefer to use a steamer vs. an iron to remove wrinkles. For those that do not know a steamer is a separate machine from an iron. Most modern irons do have steam settings but it is still NOT the same as a steamer. An ironing cloth (thin cloth – old pillowcase will work) should be used to protect the silk from the heat of the iron.
I have purposely put some of my pieces through the washer on delicate (I have a front loader) with Tide and they have turned out fine, but I do not recommend this method. I did this to test the dyes. I would also not recommend letting the silk sit for a long time after the wash cycle is finished should you use this method. Also: Sticking silk in a dryer is how they create “washed” silk which is sometimes called “sueded silk” as the dryer can remove the shine from the silk. Sueded silk is pretty in its own right but my designs were not intended for this look.