In reply to Rumy:
I think your problem may be that you're asking for something that doesn't really exist. In the UK there isn't really such a thing as a "non-surgical orthopedician".
An orthopaedic surgeon will be able to diagnose the problem. To do that, they will examine you, and they may arrange for some imaging (x-ray, ultrasound, CT, MRI - depending on what they think the problem is).
They will then be able to tell you how it can be treated (surgery, injections, physiotherapy, etc). If you require surgery or injections, they will do that. If you require physiotherapy, they will refer you to a physiotherapist.