Hi and welcome
Yes, they give mood stabilizers for depression sometimes. You have every right to ask what your diagnosis is - you can also look on your bill and look up the dsm code online.
I also think you have every right to try to change your dx if you feel so inclined. If you don't want the label, you could tell your doc you don't feel you fit the bill. Just be careful with yourself if you end up having an episode and get help if you need it.
Hang around a bit and do some reading, you may find something helpful here to help you decide