I had my hearing removed on my left side in 2018, it is easy to adapt to that. The only issue I have now knowing where sound comes from so someone would have to tell me where they are in a store or in the house. I position myself in a restaurant to make sure I can hear the table.
The dr is 100% accurate that your other side will compensate. Shortly after every surgery I have been at the gym lifting weights and having no issues with balance. It is pretty amazing what your body can do. You will not be disabled at all, I am fully functioning and living a normal life. No headaches or issues. The only reasons you would know I had surgery is they did have to take my facial nerve so I had some surgery on my face to help with paralysis so my smile is a little off but honestly it sounds so scary but I swear you will have a normal life