Get your MBBS first then when you're doing your Masters of Med,
you specialize in psychiatry if I'm not mistaken.
Anyway, for getting a degree overseas, whether or not the
universities are trash are subjective. Going to and Ivy League Uni
or to Oxbridge doesn't guarantee you success. Likewise, graduating
from a crap uni doesn't necessarily hinder you. It's up to the
individual.
One thing you have to realise when you study overseas is that you
have to fend for yourself a lot more. You need to be careful
regarding the friends you make and you must be clear and firm on
what you want. It's easy to lose sight of the fact that you're
there to study, not play. Also, you will feel lonely from time to
time, you must learn how to cook, do the laundry, clean and do
grocery shopping pretty much on your own, not to mention budgeting.
It might sound daunting, but if you think about it, you have to do
that sometime, so might as well learn it soon.
If you're planning to study overseas, it's best to choose one where
you have friends already ther to advise you. Else, choose a place
that's familiar. Also, try to have the language on instruction to
be one that you're very familiar with. Psychology requires tons of
reading, don't expect yourself to get through it all if you can't
understand most of it.