If you want something that looks good, there are raceways that fit pretty well with the skirting boards and look like they'd be part of them. Otherwise you can tie the network cable to the botton of the wall/skirting board and go in the space under the door. That's what I did at my place.
One thing though, you were good with wifi before, you should still be good as the cable will only affect your local network, which is also what the wifi does. Unless you're using your ISP's router for wifi which you can just get a good access point and use it instead of your ISP's router for wifi.
If you want something that looks good, there are raceways that fit pretty well with the skirting boards and look like they'd be part of them. Otherwise you can tie the network cable to the botton of the wall/skirting board and go in the space under the door. That's what I did at my place.
One thing though, you were good with wifi before, you should still be good as the cable will only affect your local network, which is also what the wifi does. Unless you're using your ISP's router for wifi which you can just get a good access point and use it instead of your ISP's router for wifi.