Simple painkillers and waiting
For some people, just knowing what the problem is, and having the reassurance that there is no major damage to the shoulder is enough. The pain can be controlled with simple painkillers, such as paracetamol and anti-inflammatories (if you can take them). This may be coupled with simple changes to your lifestyle, such as sleeping on the opposite side or putting items on lower shelves at home.
It can take 2-3 years to recover from frozen shoulder. Not everybody recovers fully, in spite of any treatment they have. The aim of other treatments such as injections or surgery is to reduce your pain and make you recover quicker.