Which organization is in charge of giving first aid during a football match?

There is no set first aid provider during a football match.

There is a wide range of first aid providers throughout the United Kingdom.

There is a voluntary, private, and public sector first aid providers.

Some voluntary organisations are like the British Red Cross, St John Ambulance, St Andrews First Aid, and Order of Malta.

Then there is private event medical suppliers.

Some statutory ambulance services do provide event medical cover.

It really can depend and there is no set provider, it is upto the event organiser which organisation they choose.