There is something very wrong with receptionists' training. I know they have pressure from GPs to keep the number of appointments down, but they must know how to recognise an emergency, and a one year old with acute tonsillitis is just that. It isn't altogether a new phenomenon. Many years ago I rang for a same day appointment for my one year old. None forthcoming, so I carried my unconscious son into our local surgery. They did take notice and diagnosed possible meningitis, but it turned out to be tonsillitis turning to septicaemia (sepsis these days). Ten years ago I rang for an appointment for my 11 month old DGD who hadn't passed urine for nearly three days. Receptionist told me they had nothing, she could not be seen. I pointed out they had a drop in clinic at noon, and I was jolly well going to attend that, which I did. Waited for an hour with semi-conscious child. Passing GP, whom I knew, remarked on what a peaceful baby. I pointed out far from it, hardly conscious, and alarm bells finally registered, and within 10 minutes we were inside an ambulance blue lighted to hospital. I complained to the surgery, and the receptionists did receive further training.
OP, I would complain to the Practice Manager in writing, saying you want to report a Serious Untoward Incident (the language is important!) but also cc to the Chief Exec of the local CCG, they will make sure that action is taken. GP Surgeries are answerable to them. You can look up your local CCG and Chief Exec's name and address here www.nhs.uk/service-search/other-services/Clinical-Commissioning-Group/LocationSearch/1