If you had even started donw the path of complaining they would have had to start the ball rolling with safety assesments and then the job would have been delayed, cost alot more etc etc.
Can we move it 5 meters and the person stops moaning an there isn't any change to costing or time scale? yes
Move it 5 meters.
If they need to get it across they will do and if you try and remove it you will be done for criminal damage. The old telephone cables used to create a load of problems when they started rolling them out but its not common now as most new builds you buy with the cable either under ground or the cable is deployed before you own it. If anyone kicks up a stick it usually means they have to bury the cable these days. Which is proberly why your bloke was more than happy to move it 5 meters.
There was a case a few years ago where a high voltage line was put in quite near housing and an enterprising local stuck a huge inductor in his roof and powered some heating off it. Went to court and he claimed it was his air in his roof and around his property and he could use any magnetic fields that were imposed on him against his will. He got done.