Hi Ian,
In 2018 I had surgery to repair my right shoulder rotator cuff, which sounds kind of what you're going through. I had to sleep on my back, reclined slightly, with my right arm in a sling 24/7 (except when taking a shower) for six weeks, and since I'm a side sleeper this was VERY difficult for me. Physical therapy started after a few weeks and continued for maybe three months. After PT was done I continued to do the exercises at home for a long time, and this is extremely important. Strengthening those muscles and keeping the movement going is absolutely essential. Total mobility and strength returned and my arm/shoulder came back to normal. So, keep doing those exercises! As far as playing is concerned I was able to play after I could stop wearing the sling (pretty hard to put my arm around the guitar with it on). Since it's your left/fretting arm you might be able to start playing sooner since you won't have to embrace the instrument with that arm. Good luck with your recovery!
Jack
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