If it were me, I think I'd want to get rid of it, not leave it there! I wonder why your Dr. doesn't suggest Lithotripsy - sound waves are used to break stones into much smaller fragments that can then pass easily thru the kidney, ureter & urethra painlessly. If you Dr. can't offer a solution such as this or something similar, then I think it probably would be a good idea to get a 2nd opinion...
yes .... see another doctor.
the one you have is an .....
just see a new doctor