I'm sorry to hear about the delay getting your medication.
In fact, I think the delay is far longer than the time you've spent waiting for the prescription. Your need for a larger dose is unlikely to have occurred on the very day of your annual check up. The need for an increased dose probably developed continuously over the 12 months between check ups. On that basis, you would, on average have needed the higher dose 6 months ago.
Even that is probably an under estimate. It assumes the dose decided at the previous check up was correct. With the benefit of hindsight, i.e. the fact that you need the increase now, it is likely that you've been under medicated for nearly a year.