This might sound rude, but I have a real problem with fly poop on my silk curtains and chair covers. They all look like little black “plus” signs (+), and I don’t know how to get them out. I am scared about ruining the silk.
If it were any other fabric than silk, I would venture to make some recommendations.
In this case, since silk can vary so much in its reaction to cleaning, I would recommend that you contact a professional cleaning service for their advice. At a minimum, some type of fly control should be investigated to help prevent future occurrences.