Silk will wrinkle.  Beware of any silk that states that it will not wrinkle because that means the company has added a chemical to the silk to prevent wrinkles which may be harmful to your skin.  Our silk has zero chemicals and is safe for my children and you and yours too :-)
Best way to help with wrinkles is to have a pillow that fills up the pillowcase and the silk will naturally adjust to your face and your every move.  Get ready for a comfort like no other!!