Thanks for writing in.
You are right, the rotator cuff
and supraspinatus tendon are inter related. Your orthopedic surgeon will see the MRI
in detail and then decide if you need treatment with medications of a surgery. The pain in neck and tingling
fingers might also be there due to injury
to nerves originating in the neck and passing through the shoulders into the arm. This needs detailed clinical examintation. Recovery from supraspinatus tear depends on the severity of the tear. For a mild tear recovery my take a few weeks. If surgery is to be done, there is significant pain relief almost soon after but complete recovery may take some time.
Hope this helps