Hi, thanks for your query.
You seem to have accumulation of pus beneath your toe nail due to ingrowing toe nail leading to redness
swelling and pain.
You may take the following treatment:
A course of oral antibiotics
and ant inflammatory analgesics by prescription.
Let the nail grow above the lateral nail fold and don't cut the nail too deep.
Apply an antibiotic cream twice a day after luke warm saline soaks.
It may take a month or more to settle as the growth of toe nails is slower.
Once it settles never clip your nails too deep.
If this does not help, you might have to undergo surgical removal of lateral part of the nail.
Hope this helps.