If it truly is a deltoid or rotator cuff strain, then putting a load on the shoulder is going to just possibly re-aggravate it. I would wait until you are pain-free with your activities of daily living prior to returning to putting a distraction force on the musculature surrounding your shoulder. Once you are pain free with daily activity, start out with weight around half of what your were pulling prior to the injury with higher repetitions then gradually build. Good luck.
I believe he mentioned in a different thread, that his posture was bad. He should first fix his posture/imbalances, because the inflammation and pain might go away, if he rests, but that does not mean that the actual problem is gone.
Thank you for pointing this out, Odin. I did not see his previous thread. I agree.