I can understand your discomfort & concern.
Bacterial infection in the throat is common & sometimes persisting.
Sometimes the bacteria is resistant to amoxicillin.
Hence, you will need a different antibiotic like azithromycin or levofloxacin.
You do not have any fever, nausea, vomiting or mental confusion.
These are the warning signs of systemic infection ( or spread of bacteria).
In the absence of those symptoms, you can wait till you are able to see your doctor to change the antibiotic.
In the meantime take anti inflammatories like naproxen to reduce pain ( sore throat & headache).
You may also use over the counter cepacol lozenges to soothe your throat so that you are able to eat or drink.
Get better soon.