I just found this:
"Removing Shine.- Sometimes, in the construction of woolen garments, certain parts, especially seams and overlapping edges, become shiny or glossy from improper pressing. Also, as is well known, a woolen material that consists of hard or firmly twisted threads is likely to become glossy from hard wear. To remove the shine, first place over it a press cloth that is slightly damper than one needed for ordinary pressing. Then hold a hot iron very close to the press cloth, but not on it, keeping the iron in one position long enough to allow the steam an opportunity to penetrate the fabric. Then lift the press cloth and brush the fabric briskly to roughen its surface a trifle in order to take away the shine.
Repeat this process until every trace of the shine is removed. Then, dry the steamed material thoroughly, holding the iron close enough to the press cloth so that the fabric will appear to have been carefully pressed, although the iron has not touched it."
And then I found this:
From a T-Fal Iron Site:
"Take extra care with certain fabrics.
Iron all silks on the reverse side. Cultivated silks should be ironed when damp, but should not be sprayed because they may spot; raw silks should be ironed when dry. Velvet, acrylics, corduroy, embroidered pieces and synthetic leathers should also be pressed inside out. Place a clean towel or blanket on the ironing board to prevent any unwanted sheen.
Tip: Pressing wool or dark fabric slacks often creates a shiny look. To avoid any unwanted sheen, use a cloth or an old handkerchief."
From Niagara Starch Site:
"The fabric is shiny. Some dark fabrics look shiny after ironing. Next time, iron these items inside out or use a press cloth. It will reduce or eliminate unwanted sheen."
I don't know how relevant it is to your dress but I don't think it would hurt to try. I was thinking that a steam treatment might work, too. Hope it helps!
Patti