If you want to wear your ring wear it. I took mine when I kicked H out as for me there was no trust, so it was my way to tell him that at the present time we were no longer married.
He took his two months later, and saying that it didn't hurt would be a lie but I guess it's his way to tell me it's over.
I would say that people wear/ don't wear ring for different reason. One of my fiend takes her ring every time we go out!
Don't worry about the ring, it's just a jewellery. Actions are what matters