That sucks you didn't get a chance to talk about it... seems like it will be better with a non-urgent-care psych though.
When you see your doctor don't take no for an answer!! I tend to down-play things too but if you let him/her know the real deal they will give you the referral. It sounds like you just need to be honest but ham it up a little if you have too - don't let the system make you fall into the cracks because you don't deserve it - you need to see a psych and let them know as much