(((hugs)))
I think you're probably right where you need to be. Let the T decide if you also need medication.
Depression is tough, and will make you doubt things that are good, and be sure of things that are negative and incorrect.
You didn't become depressed overnight, I imagine. Depression comes from reactions to a few main things, but really generally develops from incorrect ways of coping with life, or feeling overwhelmed from life for a long time.
Keep working with the T. Do you know what modality of therapy the T uses, what type of treatment T has planned for you? Please talk with the T, tell him your concerns, the T will be able to help you work through making this good decision for yourself, to get help.
In the USA Psychiatrists generally only prescribe drugs, a 15 minute encounter usually. No therapy to speak of.
Medications in addition to talk therapy can help things feel better faster. For nominal depression I think the research says 6 months of either and you'll feel better. TC!