I can fit a cable behind the wall but there are metal brackets which would make a conduit difficult, there isn't really the space for that, I managed to go around them when I installed my wired network.
I think going by what Zarjaz said I'll just get over myself and have the cable on the skirting board, I can always cover it with with some trunking to make it less obvious.
As j0hn83, I hope there will be no issues running the cable under the doorstep.
Thanks everyone

I'll let you know how I get on, not sure how quick it will be with lockdown stuff.