It should also be remembered that the document linked too was produced by the CDC in the USA. Whilst I appreciate they quote some UK examples, it would be necessary to see the primary source of this information (and background notes) to verify the data is being correctly interpreted in this secondary document.
All vaccinations carry some risk, particularly if the recipient has allergies (known or unknown) in the same way that the protection provided by the jab will never be 100% for all the population. The possibility of a reaction that can occur in a small number of patients is why recipients of any vaccination (seasonal flu etc.) are ask to wait a specified period, although many people don't. It is also the reason why regardless of who is administering the vaccination, there must always be suitably trained clinicians in attendance to mitigate the risk.
Personally I would rather risk the jab, where the risk is minimal, than spend 15 minutes in a supermarket scrum where the risks of catching Covid-19 are considerably higher. Indeed it is interesting that HMG have reintroduced full 'Shielding' in Tier 4 areas and one of the key aspects of this is that the extremely vulnerable should not go food shopping due to the increased infection rate of the mutation. The last time this advise was issued was in lockdown 1, since then the advice has been to go at the quietest periods of the day.