Hi Theta,
It seems as if so many things are not working out for you at the moment.

Sometimes when I get snowned under and everything seems out of my control I have
to remind myself that it will all sort out eventually... the sooner the better for you I hope.

I'm not in your country so it's difficult for me to even understand the whole process
of your health system let alone make any really useful suggestions I'm sorry.

If I needed to see a doctor today for something, I can phone any doctor's clinic in my
area until I get an appointment. (I don't live in a major city, but it is bigger than a small town).
I may even have to go sit in the clinic for a while and be treated as a "walk-in",
meaning that they'd just fit me in between other appointments.
If I can't get in anywhere today, I'd definitely have an appointment for tomorrow.

The big problem anywhere unfortunately is waiting for a Specialist appointment
and that is the same here... sometimes it's months and sometimes is many, many months.

So, all that being said, I guess you don't have the option to go to any doctor in your town
for referrals?
What about hospitals?
Do you have the option of going as an outpatient at a local hospital?
Some of our Specialists work both privately and at hospitals, so sometimes one can get
an appointment faster as a public patient.

Are there any health affiliated organizations in your area that are available to help people in need.
e.g. to help people who might not have a car or be able to drive and have no other means
of getting to the city for a faster appointment. What about a Social Worker?

I mean, what about your medications. What if you run out?

It seems to be a somewhat dire situation to be in a new place that you don't know well
and with new people, and without medical treatment. ugh.

Edited to add:
Theta, because you are in such a new area, I worry about you finding yourself in a
crisis situation without any people to help you. Not that it is going to happen, of course!

http://www.nimh.nih.gov/health/find-help/index.shtml