There was a thread on here recently with a link to a nurses forum, where A&E nurses discussed the difficulties they faced in their jobs and let off steam about the attitudes of the general public.
It was amazing to read about the way they are treated, not just by people who scream at them, or spit at or bite them, or try to get free drugs out of them by faking seizures etc, but the sheer number of people who went in for fairly minor reasons such as pregnancy tests, toothache, cut fingers etc and would get aggressive and impatient when they weren't treated as a priority, whilst real emergencies were coming in thick and fast.
While I realise getting your tetanus is important, the nurses explained that at any moment in the A&E there could be any number of major emergencies, and "that little old lady who walked in looking pale after you did with your sprained ankle could now be having a major heart attack"
Those nurses are busy saving lives by making decisions about who is a priority case, as in who is bleeding to death versus who is unresponsive and turning blue, they don't have time to have "a system for quick issues" and in fact it'd do the opposite to what they need- by encouraging all the people listed above to go to A&E at 6am rather than wait for their GP's to open.
Not having a go at you, but thought it might be good for you to see the other side of the coin, you don't know what horrific stuff they may have had through the doors after you walked in.