First check the light and see if you can move the switched live feed to the wall to a permanent live.
If that could be done I'd suggest fitting a fused spur then running from that to a shaver point and the light ( or new light).
Two feeds out from a fused spur is wrong, but since the light would be 60w or so and the shaver socket load minimal it is do able.
The full fat correct way would be a double outlet back box near the ceiling, two fused spurs and feeds from each, one to the shaver outlet and one for the light fitting.
Bathroom work needs notifying, and you must adhere to the zones. See the wiki. Uk electrics bathroom for further details.
If that could be done I'd suggest fitting a fused spur then running from that to a shaver point and the light ( or new light).
Two feeds out from a fused spur is wrong, but since the light would be 60w or so and the shaver socket load minimal it is do able.
The full fat correct way would be a double outlet back box near the ceiling, two fused spurs and feeds from each, one to the shaver outlet and one for the light fitting.
Bathroom work needs notifying, and you must adhere to the zones. See the wiki. Uk electrics bathroom for further details.