Hello and welcome to HCM
A red bump with ablack dot in the centre with white colored material oozing out seems to be a sebaceaus cyst
Sebaceaus cyst is a keratin (pus like material) filled cyst.
It is a benign lesion.
The management consists of surgical removal, histopathological examination and a short course of antibiotics.
Surgical removal of the cyst can be done under local anaesthesia and is an office procedure.
Thanks and take care
Dr Shailja P Wahal