I want to sell food from a website (distance selling)

Distance selling means any selling carried out without face-to-face contact with the consumer, e.g. via the internet, text messaging, phone calls, faxing, interactive TV or mail order.  

The Food Standards Agency has produced guidance for food businesses on selling food for delivery (distance selling):

You also need to ensure that your food business is registered at least 28 days before you begin to trade.