You can take a tamping/spotting brush (stiff bristles) and SLOWLY brush AGAINST the silk nap direction, and then WITH the silk nap direction.
Every rug has a pile direction, like a dog's fur, you can tell when you are petting WITH the nap/grain, or AGAINST it.
With silk, it gets matted and stiff after cleaning, so it needs a little grooming. If you are able to improve it without getting it wet again, probably the best.
So try ONE SMALL area, and see what happens. Look at it from both ends of the rug, because it will have a super light and dark direction.
Photos would be great...
Lisa