hello and welcome to HCM,
The hole which you have keenly observed and mentioned could be a sinus
or a fistula in medical terms which is an opening in the wrong place!
Since you are also getting discharge from the opening you need to consult an ENT who can inspect the same and start the proper management protocol
He may first treat the infection within the sinus properly and then ask for imaging study to further delineate the sinus. Finally he may suggest a small surgery which can be performed in local anesthesia
to permanently remove the problem
take care and do not try to meddle with the hole
Dr Sriram Nathan