What shoulder injury do I have? And how long should it be until I'm pain free/recovered?

For 5 months I have been suffering with intense shoulder pain. Initially the injury came about from doing pull ups. I felt a sharp pain in my shoulder and it's been there ever since. 

I have visited a physiotherapist who believes that I've injured some soft tissue but from my reading and research I don't think it should still be lingering this far along. 

An assessment was done, and there was no sign of any rotator cuff tears, although no scans have been done. 

They advised that it will take time and not to worry, however this assement was done 4 months ago. Since I'm currently in lockdown trying to see a doctor has been a nightmare and have only been offered phone call appointments.

I feel like I've tried everything. I've used Ice, heat, rest, I've been following a physiotherapy rehab program, sleeping in good positions, taking anti inflammatory medication and doing EMS work. I've watched countless videos, read tones of online articles (from reputable sources) even to the point of reading 3 books.

I'm very concerned as you might be able to tell. Why is it taking so long? Why is there almost no improvement at all? 

I have marked an X on my shoulder where I feel the pain (looks to be the teres minor and Infraspinatus).

I really need some advice on what to do. Getting a scan is my best bet I feel, but the question still remains.

What's my injury likely to be? And is 5 months to long (or what is a good timescale for overall healing)

Any answers would be appreciated!!