i'm so sorry that you're going thru such a rough time right now. consistent and continual anxiety can be hell on earth. it sounds like your dr gave you a really good checkup, and acted appropriately.
there's a couple of things that i don't understand, though. you said that your parents won't let you take your prescribed medication? this i'm not understanding. you are 19 yrs old and this is a dr prescribed medication. it seems to me that this would be a decision for you and you alone. your mother is not living in your body. she doesn't know what your body does or doesn't need. i would NEVER presume to do that to one of my daughters (they're 17 & 22 and great kids). i would caution them about the meds, but would never attempt to disallow it or undermine their pain.
another thing is...your mother wants you to see a psychiatrist? that's what they do....medicate symptoms. they will give you a whole lot more than your dr did probably, but if your mother is so involved they may only give you what she deems appropriate?
i really don't want this to sound cold or like i'm attacking your mother. i'm a mother

however, i know what it's like to be in your shoes and for no one close to understand and to even berate. it's not fair. your mother should not be calling the shots on something you so desperately need right now. unless there's something that you didn't put in the post...like past addictions, mental illness, etc.
unless there's a reason that i don't know about for your mother to deny you meds, i would get my script, get it filled and listen to my dr. she seems to have your best interest.
be safe and much luck to you,
kd