Anglo-Norman islands (or Channel Islands) constituted by Jersey, Guernesey, Jethou, Herm, Sercq and Aurigny, near Normandie (so norman) and being English (so Anglo).
It is a geographical name.

“It is impolite to refer to the British Isles as an "Anglo-Norman" possesion, and not only with regard to England.”
To whom else?
The English referring about the Channel qualify it as English, for the astonishment of the French, Belgium, Dutch and German.
And nobody care really...