Don't worry. If you aren't suicidal AND with plans, you won't get past triage in the hospital. It doesn't matter if your T arranges for you to go to the ER, and it wouldn't matter if it was the Queen of England was taking you to the ER! The doctors and nurses run that place and the bottom line is that in 99% of hospitals, they dont have beds free in the psych ward. The psych ward is the busiest place in that whole hospital. And when they have someone come into the ER who obviously doesn't want to be there and is not at risk (suicidal), they wont even look twice at you. They always do the best to turn away people who dont 100% need the hospital. Cuz they have about 99999 other psych patients (and drug related psychosis patients) waiting to go in and use that one bed that became free. Hell, they turn away a lot of the people that ARE suicidal, purely because there are just no beds free to take them.

So in summary, don't worry You will get as far as the emergency room waiting room and that's it. Although if you have private health insurance and your T takes you to a private hospital then this reply I wrote probably won't be accurate... they have many beds in those private hospitals!! And no queues.