Just use a press cloth and it should be fine.

I, too, use a real pressing cloth, slightly dampened.

Test the fabric scraps first. As I recall, NO STEAM and very little heat. If the fabric is really wrinkled, I would hang it in a steamy bathroom and see if the wrinkles hang out.

We steam them at the bridal shop where I work. You can iron them too but be careful with steam from the iron. Sometimes, it can leave water spots.

You might want to try water as hot as you can stand in a spray bottle and just mist while at the same time running your fingers lightly across the fabric or shake it.

low temp with a steam cloth between iron and fabric.