what symptom you are referring to?
everyone of us would have some mental issue, i believe
perhaps you can share a bit.

in any case, rather than keep thinking gov hospital long queue or not, and not sure if private is very expensive.
just find one day go gov hospital dulu...
usually need go general clinic (in hospital) dulu baru they will refer you to specialist department on another day.

see what date they give. if really too long, while waiting, decide next steps. whether try to improve the condition yourself or seek private treatment.