Just beating on the point to make the point: If you have a good ortho (one who enthusiastically works with motivated patients, and most do) and s/he matches you with an equally good therapist, they can provide you with with PT that helps you generally recover quickly, and also with any specific therapies that might enhance your shooting (everything from grip strength, to draw stroke, to extension, etc.).
Just visited my ortho today, after doing battle with a big limb that didn't want to surrender. Shoulder pain, but fortunately not rotator cuff. Seems after your mid-60s, body parts are not as limber as they once were. Who would have guessed . . .