As a UK electrician, you can have power outlets in your bathroom. However, it has to obey certain rules. For example, if it is a BS1363 socket, it must be 2.5 metres outside of zone 2 (basically not close to any sinks or baths). This restriction does not apply to switched-fused connection units [1] so you can have an electrician install one of those next to your toilet regardless of how close that is to your bath or sink. These are also used for e.g. heated towel rails.

[1] https://media.screwfix.com/is/image/ae235/13479_P