Hello & welcome
First of all if wisdom tooth extraction
was traumatic or extensive surgical than it will take time for wound healing
because your father is diabetic and chest pain may be because of hypertension
Secondly we have to rule out whether tooth was completely out or not so go for a check x-ray, because even after extraction of tooth there was infection.
He requires good course of antibiotic & sugar check.
So i will advise to visit your dentist
thanks & take care