@Lord of the Rings
I uninstalled version 5.6.6.0, deleted the profile data, installed version 5.6.5.0 and WireShare miraculously connected almost immediately:
and was working fine:
Then I installed version 5.6.6.0 again and WireShare again failed to connect. I cannot understand this. So (I hope- temporarily) I reverted back to version 5.6.5.0. I have no idea whatsoever why version 5.6.5.0 can connect while version 5.6.6.0 cannot.
As a result of deleting the profile data WireShare is hashing 17 000+ files and this is slow.
In short- downgrade from version 5.6.6.0 to version 5.6.5.0 resolved my connection problem (at least for now).