I just wanted to say have you tried to go with a different clinic that would have shorter waiting times?
When we got referred for IVF by our GP at the beginning of June we were automatically referred to the local hospital unit, which we didn't think to question at the time. But then I'd still heard nothing at all 10 weeks later and tried to contact them which was really hard because no one picks up the phone there and when I eventually spoke to someone they had misplaced my referral. Because of had that trouble with them I did some research and the general consensus on mumsnet etc was that they are massively overstretched, the wait could be long, they were difficult to communicate with and it was quite impersonal - a bit like an IVf conveyer belt etc so I was pretty stressed out.
So I contacted all of the private clinics in my area (which I found via the HEFA website) and asked them if they accept Nhs referrals from my CCG. A couple said yes so I chose the one with the best reviews and success rates and contacted my GP and the CCG to say I wanted to swap to a different clinic, I'd had confirmation from the clinic that they accept NHS patients from my CCG and so how do I go about swapping.
There was quite a bit of back and forth which took about 3 weeks of me chasing everyone up constantly, and I eventually had to speak to the head of procurement at at the CCG but they approved my switch to the other clinic.
Loooooong story short, literally the same day the approval letter was sent to the private clinic they booked me in for my first appointment 4 weeks later and told me I'd likely have the actual IVF within the 2 months after the first appointment, all being well. Yes it was stressful trying to organize the swap and I had to put a fair bit of time in to it but it totally paid off. Worth a try?