Just as some background: both of my parents are engineers, they pushed math on me throughout high school (I participated in math competitions, I liked it; I've also been really active on Math SE because of them), and I'm ending my freshman year of university. I came in as undeclared, and this is roughly the time many of my classmates are declaring their major.
My parents and I didn't fight very much when I was young - usually I was really submissive, did whatever they asked on the surface, and whenever I wanted to do something other than their wishes, I'd do the standard teenager thing and sneak out, lie, whatever. I'm not trying to defend my actions, but hopefully it gives some context.
They currently pay for my college tuition and my only real form of income is a part-time job I have at university. There's absolutely zero way I could pay for university on my own, and considering it's a private university for another three years, the total is about 150,000.
My parents were talking the other day about declaring my major, and they seemed to be set on my choosing engineering - after all, I never outwardly showed that I didn't like math or physics (I like both of those subjects). But I tried to explain to them that I actually wanted to major in psychology and cognitive science. I've met with a few graduate students in the psych program and I think it's a good fit for me, and this past semester I started taking some of the required classes in the major.
My parents weren't too happy about that - after two hours of yelling, I couldn't take it anymore and just hung up the call. They made threats of not paying for my degree. They're supposed to come to pick me up from university (I have to move out of the dorms) in a few days, but I've tried texting/calling them ever since the past phone call and they haven't replied.
Maybe I'm overreacting and maybe this is just them trying to cope with their daughter disobeying them for the first time, but I don't know what I'm supposed to do. What recourse do I have? I'm not entitled to a paid college tuition, but I feel like I should have the right to decide my own career path. Just because I never disliked math doesn't mean I want to major in it.
The immediate concern is that I'll have no one to pick me up from university, and the long-term concern is that I just caused a huge rift with my parents that might be unfixable. Since the semester is ending, the psychological services on campus are swamped with students, none of my friends know my parents personally, and I don't have a car to even try to see a therapist. I don't have anyone to turn to.
UPDATE
I just took a few finals today and they went okay - I'm trying to ignore the situation while my exams are ongoing. I texted my parents a few times and I still haven't gotten a reply.