It will never heal and only get worse and worse. You need to take a few weeks possibly months off. Trust me...nothing is worse than going through your daily routine with pain. I used to have trouble just lifting my arm up in front of me. Now I have full mobility and zero pain. But I had to force myself years ago...to stop training for almost 3 months. It sucked but worth it.
Then when you heal back up, you must integrate a proper regimented shoulder warm up before ANY workout..not just your shoulder day. Google it for some decent routines...plenty of people have gone from severe shoulder pain to zero pain.