An hour is a heck of a long time to get to talk with a psychiatrist, but typical for an initial evaluation.
Yes, they will start you on meds that soon; based on what you told us, if that's what you told her, it was the right thing to do.
You'll know it's working when you start feeling better ;-). Takes at least 3-4 weeks and sometimes as long as 6-8.
Millions of people take antidepressants, and none of them are addictive.
Good luck....
CB