"I think it’s being administered incredibly fast!"
What? No it's not. Loads more could be given. We don't have the infrastructure.
2 GP surgeries I know have refused to take it saying that they don't have the -70° storage facilities.
1 local GP surgeries haven't even started making the appointments for the first round of people who have already had it to come back for the second dose in 3 weeks time. apparently the higher body at the NHS haven't given authorisation for this planning yet. 
At kings college hospital last week they had loads of vaccines ready to be given to people and lots of people on the list didn't even turn up and they were running around like headless chickens trying to give them to nurses and anyone within the hospital who could actually have it . pandemonium it was.
It should be being churned out as much as is physically possible. Highest priority. The planning for how it was to be done, should have been done months ago.
Do you even know how many people have actually been given it? no because the fact is the government aren't releasing those figures. because if they did, if the public did find out that so few people had actually been given it by this stage, we would all be furious.
With better planning many more millions could've already had it and would have had it in between now and February. but this is simply not now happening and you are saying that we are being unreasonable and impatient?
you have got to be having a laugh.