Just wanted to write an additional FYI, most informed clinics take time to get in. Please consider making an appointment asap if you are running out of medication quickly. You will likely be able to skip the initial steps that others take since you are on medication (I don't know, it's up to the practice's policies with new patients) but you never know. If you can, get blood work done a head of time. Just call your GP and get a BW Script and then head over to a local lab. Then ask your GP for the copy of your results and bring them with you. I wish there was an easier way, but this sounds like the quickest legal way you can go about it.
Honestly, I'm saying this because I care, but given the level of depression you felt beforehand, I'd really avoid the withdrawls. The emotional component of those withdrawls should be your biggest concern (which I can verify is a very tough thing to go through with other medications). If you have to ween yourself off it for some time, consider speaking with your gp to get emotional treatment in the meantime. I know I would go crazy if someone took my hormones, lol. In any case, I hope it goes well.
P.S. Thanks Grace, though I'm no star. Maybe a supernova or a black hole, lol.