I experience a similar redness and warming sensation after applying the exact same Lily of the Desert supplement aloe vera gel to my face (and chest, but I get no such reaction elsewhere on the body.) My redness and warming only lasts 5-10 minutes though.
I wash, tone with witch hazel and then apply the tea tree oil before bed, and the aloe vera in the morning and once in the early evening; if I don't need the tea tree oil after all signs of treatment are gone, I apply the aloe vera before bed and once in the afternoon.
Treatment details: genetic male heavy facial/body hair no hrt, type III skin
Pro Electro: 126.00 hours Apilus Platinum picoflash + synchro
DIY/Co-DIY Electro: 823.25/75.50 hours Apilus SM-500 microflash + blend