Wearing a ring is definitely a personal decision - I chose to remove mine.

The ring was given to me by W as a sign of her commitment to me - a symbol of a promise to be with me even in the bad times, to be with me til death parted us, and to forsake all others.

The promise that the ring symbolized is gone - so the ring itself is meaningless.

Now, if you have re-assigned the ring as a symbol of your commitment to marriage as an ideal - then that's something else, and you should wear it with pride!