"Late for my appointment"

I have had a medical issue for a few weeks now and have had two prescriptions of antibiotics. I was told that if the second prescription didn’t work I might have to be referred to the ear, nose and throut clinic. I phoned to see if I could speak to a particular doctor and was told she wasn’t in and a doctor could phone me, I explained my problem and was booked into a appointment for 4.40 on Thursday 18th October. I unfortunately got stuck in traffic because of a accident. I phoned and spoke to someone on reception who said if I was later than ten minutes after my appointment time it would be up to the doctor if they would see me. I was unfortunately 15 minutes late and on arriving at reception I explained that I had spoken to someone about this but I was told because my appointment was twenty minutes ago I couldn’t see a doctor. I tried to ask if I could wait or if they could ask the doctor if she would see me and I was just told no and she shrugged her shoulders. I understand how busy the doctors are, and I never complain. Even though on my last visit I waited over 30 minutes past my appointment time. I left the surgery in tears and very angry at my treatment and lack of care by the receptionist.