AFAIK the only restriction is that a central heating boiler cannot be plugged into a switched socket.
Must be an unswitched socket or a fused connection unit.
This is so that L+N isolation is assured, by pulling out the plug or switching off.
I have came across many plugged into existing kitchen sockets over the years. I wouldn't know if this is legal or not as I am just a DIYer.
What I have come to learn is that a double socket is not 2 x 13 amp, but generally more around 20A, hence my recommendation of quality double sockets in the kitchen. We know plugging a washing machine and tumbler stacked on each other taking both sockets, disregarding diversity is a no-no. But a toaster and kettle at the same time (as common as it must be) will only be for short periods. A B&M Chinese import I would not advise.