Well it's the nearest feed and by going outside its the easiest route.
Can't go the roof/loft way due to the design off the house:
___________
\
Loft \ ___________
____________ / /|\
/ / | \ Neighbors
/--------------/ | \
Bedroom | Bathroom | | \
___________|__________| | |
| | | |
Reception | Kitchen | | |
| | | |
___________|__________|__|__|
Basically the bathroom is not that high so the ceiling is slanted the same way as the roof, so it's not accessible, doesn't help that the ceiling has been plastered recently in a pattern, which means this is a no go route

Misses won't be happy.

Which is why I'm asking about the conduit idea as it really seems like the easiest way, if I was doing a full refurbish of the bathroom I'd feed it inside the wall, but as it's been done and not thought through I'm now stuck with this idea, be good to find out if armored cabled is required or not. (PS off topic section doesn't increase post count

)