can hyaluronidase cause under eye redness?

I have yet to see anyone who is allergic to hyaluronidase. The redness is probably from the injection itself, a small bruise, or a slight burn to the skin from icing. You can apply hydrocortisone to the area after cool water and that should help. "This answer has been solicited without seeing this patient and
cannot be held as true medical advice, but only opinion. Seek in-person
treatment with a trained medical professional for appropriate care."