If you aren't having pain then the surgery can be avoided. I would suggest a PT program to increase strengthen the surrounding musculature to compensate for the the torn tendon. Work should also be done on the scapula stabilizers to insure coordinated shoulder motion. If you are still having weakness after several months, then surgery is an option. It is possible that the tear can get larger, so I be sure to have your orthopedist monitor your progress carefully. A repeat MRI can be done in 6 months, to evaluate the size of the tear. Rotator cuff surgery can be very successful, the tendons do not repair themselves, after surgery the tendons can always retear.
You are welcome, good luck!
Thank you very much for your reply which is very helpful.
I will consider all the facts before making my decision.