Lawful authority to shoot - Vermin
Lawful Authority to shoot - Deer
The holder may possess, purchase or acquire expanding ammunition, or the missiles of such ammunition, in the calibres authorised by this certificate and use only in connection with:
(a) the lawful shooting of deer
( the shooting of vermin or, in connection with the management of any estate, other wildlife;
It seems the two are being treated as interchangeable in this context.
Andrew