Hi Ivan,
When a person is diagnosed with a fracture in the a&e dept, they are usually given an appointment for the following week to see an orthopaedic surgeon. The surgeon then decides whether immobilisation ie cast/sling is sufficient or if the fracture requires surgical intervention.
In your case, clavicle fractures usually only require surgery if the two bones are no longer in alignment. If they are broken but still adjacent to each other, then the bones will fuse naturally together again over time with immobilisation. If they are misaligned, there would be an obvious deformity or bony protrusion which you should be able to see. Tingling down the affected arm may also be present.
I am assuming you did in fact see an orthopaedic surgeon in Beaumont at some point. Obviously, a second opinion is always valuable. Have heard good things about Mullet too.
Hope this helps!