If you want to prevent shine use a press cloth when you press the fabric. I always use a press cloth or iron on the wrong side when ironing dark colored garments to prevent the shine. The same would work in quilt pressing as well. I like the see through press cloths. They are similar to an organdy fabric. Mine are years old and I'm assuming you can still buy them. Another that I've used is a piece of muslin. You don't need anything heavy between the iron and the fabric, just a barrier will prevent the shine.
I agree with others that washing will take the shine away.