

I had a rotator cuff injury related to bouldering, I no longer remember and am not great at the anatomy anyway but it might’ve been the supraspinatus?
The exercise is pretty straightforward. Grip the kettlebell by the handle, swing it up into the starting position where the bell is above the handle, arm should be in front of you (not to the side) with your wrist stacked above your elbow at this point, and do an overhead press. This is a stability focused exercise, not that it won’t build strength but it should be at a substantially lighter weight than you would otherwise press.
https://whitecoattrainer.com/blog/bottoms-up-kettle-bell-press
Happy to share, hope it helps!