Opinions about the use of hydrocortisone creams on the face vary. Some sources say never to use it on the face; others say hydrocortisone creams may be safe in certain circumstances. Arguments against using hydrocortisone are that it can aggravate some common skin conditions that affect the face. Also, the skin on the face is delicate; if the product isn’t formulated for the face, it could damage the skin.
Since the cream isn’t working, it sounds like you need to see your medical provider. If your provider didn’t prescribe hydrocortisone cream for your face, perhaps stop using it, at least until you get a solid medical opinion.