Unfortunately, some people simply do not qualify to migrate. Either their skills or family connections do not meet the standard, or less commonly, they encounter an insurmountable health problem.
If they have already contacted an agent with a good reputation in medical matters (eg Peter Bollard) and handled their application correctly, then unforunately a refusal from DIMIA is the end of the road.
There is no health waiver available on general send visas, and no appeal right for unsponsored offshore applicants.
The only possible glimmer of hope is that if the medical condition is one that will improve over time (or there is a certain fixed treatment cost that will not be ongoing) is that it may be possible to apply again a few years down the line.
Looking at other countries (New Zealand or Canada) may be an option but these countries have migration health requirements too.
Realistically - false hope is worse than none at all and the original posters may be best advised to get on with their lives in the UK. There are many worse places to live in.
While of course they have our sympathy, the often expressed view on this forum that there is always 'something that one can do' is not applicable to everybody.
Jeremy
-- This is not intended to be legal or professional advice in any jurisdiction
