Hi, Thanks for posting in HCM. I understand your concern. Red inflamed lump on the breast around nipple what you are having could be a deeper infection like breast abscess, like superficial skin infection extending to breast tissue. That could be the reason why it is not subsiding despite taking antibiotics. Hence, you need to get rid of it by incision and drainage surgically. Kindly consult Surgeon in this regard for appropriate assessment and management. Hope the information provided would be helpful. All the best.