With a good 13A plug in a good socket with free air or forced air cooling no problem.
However the regulations suggest items which are fixed and over 2 kW should have a dedicated supply, so should not really be supplied from the general ring final, but many do without problem.
And all fuses get hot, so plug needs to be in free air to cool. Or in the cooling air from the cooker, not hidden away in the back of a cupboard.
You will have to follow the manufacturers instructions. If it comes with a plug fitted then the manufacturer must ensure it's safety. If not then they probably do not intend it to be installed in that manner.
Having said that as Eric points out, many are installed that way but I would be ready to replace the plug & socket after a few years of use.
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