The best way to iron any clothing item with rayon is to turn the garment inside out, and iron it on low heat with no steam. Iron only small patches at a time to avoid stretching the fabric permanently with long sweeping motions.
To reduce the risk of damaging rayon clothing, iron clothing through a small washcloth or handkerchief as an additional precaution. If you have multiple items of clothing to iron at once, iron all garments with rayon first. Because rayon clothing requires low heat, it is quicker to iron these items first so that you do not have to wait for the iron to cool.