Pain and swelling on pinky side of wrist, is there anything I can use for this?

NSAID's. A common cause of wrist pain on that side (ulnar sided wrist pain) is a tear in a cartilage disc there called the tfcc. I always start treatment with the easy stuff so get a comfortable wrist wrap or splint from cvs, walgreens, walmart and wear routinely for a month. Also if no allergies or other problems take otc Motrin 400mg three times a day with food for a full month. If no help go to doc.