You've been reading the daily mail haven't you? I saw that aswell, but remember, the daily mail always spouts shite and hate the nhs/doctors.
Paying for a private nhs appt is going private. V few (any?) consultants only do private.
I think, for what its worth, if you'd find waiting till June too hard, make a private appt, and make sure you have a list of questions/problems. If it looks like you're being ignored or you feel railroaded straight to ivf, then walk away. Unfort, most of us in here now have a fair idea of how fertility treatment goes, given we eat, breath and sleep ttc (or is that just me?)- as long as you stand your ground, I'm sure you'll be able to get whatever straight answer there might be...
Kx