i literally offered to send OP a thermostat and cover the cost of a vet because the photos were AWFUL and one of the worst burns i've seen in a while, and these issues were not being addressed so OP made a desperate post.
you may be qualified, but your child was right that this snake needed a vet and your opinion that the snake didn't was not correct. your care may be adequate but for you to state this snake didn't need expert intervention is disingenuous. how are we to know your expertise and care? all info was given to us by your child.
the snake also needs a thermostat NOW, so when are you going to get one to prevent this burn from happening again literally tomorrow?
the single-most important and vital piece of equipment for keeping a ball python is a thermostat. and you didn't recognize that. IMO that speaks to a lack of knowledge on this animal. tons of people offered advice and helpful tips without sugar coating the issue; if you take this - these people taking time out of their day to help this snake and offer advice - as an attack then i feel sorry for you and that snake; constructive criticism is vital in learning and growing in a hobby.
this post sounds more like you trying to save face than help this animal.
i hope that snake gets better. good luck.