Been there, done that, whined about it on bike forums so much I'm sick of myself. Hit by a car in 2018, broken coracoid process, Grade 4 separation, permanently humped acromion. Almost four years later it still aches sometimes. Depends on the weather -- barometric pressure shifts aggravate old injuries.
Normally I'd say go with your doctor's recommendations, but in my case I saw four different ortho docs and got four different stories, ranging from recommendation for surgery to almost total indifference.
I do my own physical therapy now, mostly following the advice of a PT clinic I attended for several weeks in 2019. After the COVID pandemic I realized I was on my own for physical therapy and pain management, so I don't even bother discussing it with my doctors anymore. My current GP sounds bored and indifferent if I even mention it so I don't bother.
Anyway, I've written enough about it here before so it's all in the archives somewhere.
End result, I've cut way back on bicycling, mostly because drivers in my area have gone insane the past couple of years. It's literal carnage on the highways, with daily fatalities from speeding, road rage and shootings. Neighborhood streets aren't much better. Texas law doesn't provide much incentive for drivers to be civil toward pedestrians and cyclists, and financial or legal deterrents are practically non-existent.
I've mostly switched to running and walking. I haven't been on the bike since last autumn, but I'm planning to dig out the trainer and start varying my workouts. But I doubt I'll ever resume cycling as my main exercise, at least not in my area. After six fractured vertebrae from the first time I was hit by a car 20 years ago, with permanent stenosis in my cervical vertebrae, and the shoulder injury from the latest incident, I'm not willing to risk any more of that nonsense at my age.