I hurt my rotator cuff in the army, fell out of a German APC, but at that time being very young and stupid I never went to a doctor
and It never healed properly.
Years later
As soon as I hit some decent weight with should press and must have maxed out - massive pain and couldn't lift for 2 weeks, I just did the clever thing and left it alone did not train shoulders and worked my way back up.
Now for a strange reasons my shoulder are the part of my body (not the biggest) but the part that has enjoyed the biggest grow what I can lift.
Do the right thing and rest your shoulder, there is no thing like work through it it's stupid, if you are injured you need to heal./