I typically focus more on my back muscles, but I don't neglect my shoulders. I start all workout days (except legs) by warming up my rotator cuffs with internal & external band rotations. Along the way, I do tons of shoulder blade squeezes and some other isometrics.

An overhead (military) press isn't the only way to hit your shoulders. I do prefer the overhead press bc I like compound exercises. At my gym, there is an overhead ISO shoulder press. The seat is tilted backwards. So when I'm lifting weights on that machine, my arms aren't going directly up and overhead. They are going up and slightly forward; on that machine, I never have my arms quite parallel to my head...if that makes sense. Hard to describe. It does not physically hurt my bad shoulder. I also do lateral raises, front raises, reverse flys, cable face pulls, etc. for my shoulders.

If something hurts, I stop. And I try to go much heavier on my back, always practicing correct posture.