If your doctor is doing phone appointments, I'd have thought this is absolutely one that can be handled by phone. You have PCOS (I assume she has the test results to confirm this?) and you can tell her your vital statistics vis a vis weight, height, general health etc. I see no reason why, at the very least, your GP can't a) prescribe Metformin to see if that has some impact and b) refer you now to gynaecology. Because the next step, if Metformin doesn't work, is Clomid to make you ovulate.
Incidentally, it depends on your trust obviously, but overall, even with confirmed PCOS, as far as I know the NHS won't go straight to Clomid until they've done full investigations. I find this mind boggling as Clomid is cheap and simple and if that's ALL that's wrong, there's a relatively high chance of success. But it is what it is. In which case, if you can afford it, you should seriously consider private as, relatively speaking, it's very reasonably priced to get fertility treatment for PCOS privately.
For context, in my case, I had an initial consultation with a few tests (bloods and internal exam - nothing too crazy). Was prescribed metformin. A few months later I returned, discussion and internal exam followed and Clomid was prescribed. There was a brief delay and the requirement of an additional appointment as a result of a follicle that just kept growing and then basically got stuck but I think that was sheer bad luck. Clomid. In first month, had appointment and scan to assess follicles. Told not to come back unless pregnant or after 3 months. Was pregnant after second month.
The point is that even with crazy private prices, the above is all relatively inexpensive and about 500 times quicker and less invasive than via the NHS. Obviously, if you don't have the money, you have time to go through NHS, but it's worth considering (appointments for private doctors will vary but think between £200-£500 a session plus cost of some blood tests. Some will charge separately, or as a separate appointment, for the internal exam/scan). I paid £5 for two months worth of Clomid.