"Burn patient and emergency room"

I went to the A&E with a child who is under my care. They had accidentally spilt boiling water on their chest and hand. The school advised they thought I should go emergency. It was hard to treat the burn because of its location. Because of this, the school gave my child an ice pack. 

When arriving to hospital we were seen, I was told no blisters had formed, there was a small spot where skin had lifted and they updated my child's ice pack as their one was warm. They said they would get my child pain medication. I asked because there are no blisters, did my child need to be in emergency and was told yes he should see a doctor. I also noticed their guardian details needed to be updated. 

We waited in the waiting room from that point on. We did not receive pain medication within the hour, nor did my child get a fresh ice pack as theirs had gone warm again. I tried to talk to update contact details and ask if we could leave so I could treat the burn as I felt we did not need to be there and treating a burn correctly in the first couple of hours I know helps with the severity of the burn. I left without updating the details as there was no one available to advise.

I took my child to the pharmacy, gave them pain medication and treated the burn as advised by the pharmacist. I realised I probably shouldn’t have gone to emergency in the first place but was advised by a few people that’s where I should go. However, I feel if basic care such as cooling the burn and providing pain medication to a patient doesn’t occur in the first couple of hours, patients are probably better off treating the burn themselves at home.