I have been dx'd with hypothyroidism and taken meds for it for a little over a year so far. I take synthroid for it, and my thyroid levels are fine now.
When I first saw my T doc...I wrote down all the meds I take. He asked if I had hypothyroidism, I said yeah, and that was pretty much the end of the conversation. Afaik...hypothyroidism has no effect on your T dose. T might change your metabolism, and if it does, your doc will test that on bloodwork and change your thyroid meds accordingly. I take other meds in addition to T and thyroid stuff...trust me, there's guys who have alot worse medical probs and still take T.