If you don't know, subject Fury then tell your family, and one of four things will happen:
1) Your parents will sympathise with you and try to help, but not get a shrink because you can't afford it.
2) Your parents will get a shrink for you and pay by taking something out of their savings or working longer hours for a while before and after your therapy.
3) Your parents will get a shrink for you and you won't be able to pay rent and get kicked out.
4) Your parents do nothing at all.
You seem to be making out that number four will happen, but if anything, 2 is the most likely option. You want to know why?
Because a parent will do nearly anything they can for their child, even if it means they need to work rather a lot longer, they will most likely do it.
Option three is the worst eventuality, but even if there is no way you can budget any kind of appointments with any psychiatrists, then they will at the very least do what they can do to help.