Removing Rust from Marble?

I have a marble table in my balcony and I don't know what I was thinking when I put a decorative Moroccan lantern in the middle of it, as a decorative centerpiece and as a form of lighting (you put tea lights inside of it and it serves the purpose of a candelabra with colorful shadows thrown by the colorful stained glass). I guess I got the idea from those house decoration magazines where you see people putting lanterns on their balcony floors and on tabletops for decoration, and I didn't think of the practicality of it versus the decorative aspect. Anyway...I left the lantern on the table for a few weeks before a storm arrived and I decided to bring it in as the panels of the lantern are made of glass and I was worried the wind would knock it off and damage it. Immediately, I noticed an ugly bronze ring in the middle of the table, which was caused by rust that the lantern created, due to Florida's humidity I guess. I don't know what product can lift rust off of marble without damaging the marble. The table was not overly expensive, I am just concerned that using something harsh like bleach may ruin the marble and make the table look awful, and I am not willing to replace the table at this time. I definitely learned my lesson the hard way! I am now storing it in a closet and will only be bringing it out whenever I dine outdoors. Thanks in advance.