Hi, and welcome!

Hopefully someone from your side of the fence will come along with more relevant information (especially about the dreaded v-word), but perhaps one of the reasons why you haven't yet had any replies is simply this: there isn't a great deal of patient choice in the NHS. With fewer than 10 surgeons performing M2F GRS in the entire country, you don't have a wealth of surgeons to choose from. At least, not if you want it done on the NHS.
This is simply the way the NHS operates (pun intended). They don't generally publish names of surgeons, or photos of results, or details of techniques... in
any field of the NHS. That's because we don't have a consumer's market like the one in the US. Perhaps that might explain some of the confusion? If you tend to get info from US-centric websites (like this one), you can easily get the wrong impression about what's possible in the UK. Our system is completely different: Americans often go to Thailand for their surgery because they have to pay for it out of their own pockets and Thai surgeons can do it for a lot less money than they'd have to pay in the States (and they're very skilled, too)... but that's not a problem we have here in the UK.
When you eventually get your referral to an NHS surgeon (which will probably be in a couple of years' time), you'll be able to discuss your preferences with them and they'll do their best to accommodate you. You can also discuss your preferences with your GIC and ask them to refer you to the most appropriate person. Whilst in theory we have a choice of surgeons available to us, in actual fact most of us wind up going to whoever is recommended by our GIC. My GIC recommends Phil Thomas in Brighton; others are available. If you like, you could contact him directly and ask him any questions you might have. If you email his office they will come back to you - and he can also operate privately rather than on the NHS if you don't want to wait. Most surgeons (or at least, their teams) will be happy to answer your questions in advance and they'll be happy to show you examples of their work.
This brings up an important point: please bear in mind that if you're not even with the GIC yet, you're likely to be in for quite a wait before you can get surgery. Most GICs have a waiting list of at least 1 year before your first appointment (some are even longer than that); and after that, most GICs require at least 1 year's RLE under their care - usually including HRT - before they'll refer you for genital surgery. So we're talking (probably) something like 2 years before you can get genital surgery... and with old surgeons retiring & new surgeons being trained, who knows what'll be available in 2 years' time?
You might also want to post your questions in the Male to Female forum -
here's a link - where you might get a better response.