Find another doctor. Although your symptoms are relatively mild your dose of meds will not be that high and probably not produce dire side effects. Not everyone has bad side effects but if you have been diagnosed with an overlapping connective tissue disease you should be on some controlling meds to stop disease progression.
MCTD is a specific diagnosis so I am puzzled why your doctor would say UCTD or maybe MCTD. Sometimes UCTD does morph into MCTD but treatment for both is the same.
Make sure your new doctor is experienced in treating AI diseases.
MCTD (lupus, scleroderma, polymyositis). Diagnosed 2005. Kidney, liver, GI tract, dysphagia, raynauds, Barretts esophagus, quadriplegic in 2005. Recovered and now active in skiing, tai, chi, hiking, golf. Meds: prednisone 2.5mg, imuran 25mg, amlodipine, benazapril, omeprazole, potassium, folic acid, vitamins, maxide and various supplements and vitamins.
Remain optimistic and you can overcome the odds.