Yes, I am glad she is getting care and is at the hospital that is indeed the main thing, but the fact she kept her at home waiting for the ambulance suggests it was a lesser emergency than say a stroke or a heart attack.
I am sorry but today in the UK, you get someone in a taxi and get them to a hospital in these circumstances rather than just sit and wait for an overwhelmed ambulance service to come and transport you to the hospital and I say this as someone who lost a family member who was told it was 6 hours to wait after collapsing.It was stroke. They died waiting for the ambulance. This is the reality of the ambulance wait time in many parts of the UK today.
You can get at furious as you like but this is the state of the NHS ambulance service currently, they are overwhelmed with calls and if you can possibly get to the hospital by your own means you should do. Your anger will not help you access care or an ambulance any faster.
The NHS does not have enough funds to run properly and will need much higher taxes to improve speed of access. My employer pays about 30 k for my health insurance for my family of 4 in the US so that is what it costs over here and if I end up in hospital I am on the hook for 3K. I have one of the best employer health insurance packages after the military in the US so many over here contribute between 700 and 2k a month toward that annual amount for thei access to health care.
I am not saying that is a great way to get your health care but that is the cost and I think maybe people in the UK take for granted the NHS without realising how much it costs to deliver the care and the ambulances, so your national insurance contributions are no longer enough to fund the service for the millions of people, a significant proportion of whom are unable to contribute anything due to being unemployed, under employed or disabled etc. Of course it would be nice if the super wealthy could contribute significantly more that the average person, and many do already via taxes.
So get ready to start paying significantly more if you want to call out an ambulance and not have long waits like this. That is the hard truth of living in a country with a free at point of service health service that is overwhelmed with people wanting to use it at no cost.
I hope your daughter is ok, it must have been very scary not knowing how to get her to hospital, next time you know call a taxi and don't even expect a fast ambulance for a seizure, it's just not high priority as in your area there will be people having heart attacks, strokes, choking, burns etc and yes they trump seizures for those ambulances.