That's awful! I'm not sure how your health care/insurance works in the UK, but here in my state, I can call my gp up and tell them I need a referral and they fax it right over to the other Dr. Actually now, with my new insurance, I don't even need referrals (unless a Dr demands one I suppose), my health insurance allows me to see any Dr with out a referral! Maybe what you should do is ask some friends and family if they know of a good neurologist and do some research on neurologists in you area online, and approach the gp with "I would really like to see a neurologist for my migraines to figure out possible triggers and also see what treatments are available" don't undermine him or negate his care, but explain it in a way that you want to see a specialist who deals with issues such as yours on a daily basis..
And I'd hate to break it to your Dr, but your wisdom teeth could even be causing your sinus pain too! I'm no stranger to own sinus problems, as I've had 2 sinus surgeries already and I'm only in my mind 20s! Lol you didn't mention if your wisdom teeth were upper, lower, or both, but if they're upper, it could cause more problems than you could think of! You said he gave you antibiotics incase of an infection, hopefully, regardless if it's an infection in your sinuses or wisdom teeth those will help clear it up... I strongly suggest that you keep pressuring them into listening! This is your health and body were talking about after all! Don't let them dismiss what's you're feeling!
I actually had a coworker who's teenage daughter passed away because of drs dismissing her sinus infection. She had complained for months and they kept saying it wasn't an infection, just allergies, colds, etc. She ended up I the hospital, brain dead, because the infection got so bad it spread to her brain. There was nothing they could do at that point. Very scary that our lives are literally in these incompetent Dr's hands. Do Do get me wrong, a good majority of drs are competent, but the ones that aren't scare the h3l out of me! And I've had my fair share of bad Dr's, let me tell you! I'm sure we all have!
Maybe do some research on your health insurance plan or how ever it works over on your side of the pond lol and see if you have any loopholes, or if you can call thins nhs and override the referrals or simply explain to them that these wisdom teeth are painful, adding in triggering migraines, and possibly aiding in sinus pain? Couldn't hurt to do some investigating, right?
And as for these Dr's, they could send you to an ear nose and throat Dr for your sinuses, they need to send you to a neurologist ASAP in my opinion, I mean they could be doing a CT scan of your sinuses to make sure they're no pollips or infection. I mean, not to sound gross, but do you have green mucus? Like I said I'm not stranger to chronic sinusitis, I actually have a sinus infection now that I have to call my ENT Dr about tomorrow... My first surgery, they had to not only clear out the infection that no medications would touch, but they also too out a mass, and had to scrape some bone out because my sinus cavities weren't fully developed as they should have been. The second surgery was only on my left side and they took out the infection and 37 pollips! All on one side!
Sorry for the novel, lol, but these Dr's drive me nuts! It's too bad that provide g health care can't be about the patients and their wellbeing, no, it has to be about getting rich.
Please update us! And good luck! I really hope they start listening to you!