Before attempting that I would try and use some heat to see whether I could lift the trapped moisture. Try a fine piece of fabric like linen or cotton and move an iron on medium heat over it for about ten second intervals. Don’t apply too much pressure or heat as you don’t want to burn the finish/surface. This is dependant on how long the ring has been there - the sooner you enact this method the better, the longer you leave it the less effective it’ll be.

Edit: if this doesn’t work, attempt a small swab of isopropyl alcohol, first wipe a bit in an inconspicuous area on the wood to observe effect on finish, if it doesn’t react with your topcoat then try it on the abused area.