When I had shoulder bursitis years ago I ended up with a frozen shoulder, the doctor then gave me a cortisone injection in the shoulder. I did do some physical therapy but mostly it just took time to heal, a year. Since then I’ve had no trouble with it. Warmth can make it feel better, ice it in the first 48 hours but you are past that time already. Ibuprofen reduces inflammation but I would check first with your doctor as it may not be advisable under certain circumstances. Gentle exercise can be done, this is where physical therapy can be helpful, to make sure you don’t further aggravate it.
I hope you are able to get the help you need, sometimes persistence pays off.