I had this happen to me with a client, she has very pale skin, red hair. She had just come from the gym and cycled to her appointment, she was extremely flushed, i should have known better to be honest but the lip area seemed normal although a little flushed in the cheeks, anyway this particular client does go rather red anyway but i notice immediately how red her skin came up so i used aloe vera gel to calm it down and explained not to be have any hot showers and take it easy on the bike ride home and not to get to hot! She still came back as shes a regular client and did say, after i asked, her skin had been sore that last time and we both agree'd we would not be waxing her again when shes very hot or been sweating heavily in the gym or at least not until she had cooled down properly. So it happens, don't beat your self up over it, im sure everything you did was fine it'll most likely be shes been in the sun or got to hot afterwards or perhaps like my experience, before her appointment!