Yours in Health,
Be sure to find a licensed practitioner in your area, an L.Ac. not just some doctor that "also does acupuncture". You can ask around for referrals and feel free to switch to someone else if you do not find success with your first choice.
Keep in mind it may take a while to work through your condition and though you may reduce treatments eventually, it may take a few to start seeing results.
Acupuncture also integrates well with psychotherapy or talk therapy for depression. Studies show this combo usually beats prescription medication and, again, the patient is at much less risk of side-effect or adverse-event.
For something like depression, it's fairly important to see a provider who understands the Chinese diagnostic model - in other words, you want a board certified and state licensed acupuncturist. If you're not in CA, go to NCCAOM.org and use their "Find a Practitioner" link to get someone local to you.