Silk, although delicate develops far less wrinkles than other fabrics. Even if does, the wrinkles are easy to remove.  A hair dryer, steamer or an iron can come in handy to turn your clothing wrinkle-free.
Use an iron on the low setting to avoid damaging it. Cover the silk with cotton sheet/fabric rather than directly ironing it.
A hand-held steamer or a steam iron can be safely used to remove wrinkles from silk. Just keep the source of steam about 6 inches away from the fabric and move from top to bottom. The steam should loosen the fibers and render it wrinkle free.
Use a combination of fine mist spray bottle and hair dryer on the wrinkled area. Remember not to wet the area more than necessary, as drying will take time. Hot air will dry the area and remove the creases. If you are not sure of how hot the air will be, you can simply switch off the heating filament and blow normal air to dry the fabric.
All these methods involve water and heat, be sure not to overdo anything to avoid damaging or staining the fabric with water.