Is there any other way to relieve fluid in the wrist than to get a cortisone shot?

Cold compresses: and immobilization temporarily with a removable wrist splint also works. I assume you have had an x-ray done to eliminate the possibility of fracture. And I assume the swelling was not spontaneous, but rather preceded by some form of trauma. The possibilities are different depending upon the etiology and may need to be further evaluated by your PCP