My reading of the DEFRA link is that in most normal stalking situations outside of a park, shot deer are not covered by the regulations.
I am however very confused as to whether leaving feed out for obviously wild Highland deer in the winter brings them within the definition and also what is meant by "used to produce game trophies" as this is extremely ambiguous.
The use of this wording is very specific and seems intended to differentiate between one dead deer and another. It might mean a dead animal which is going to be mounted for a trophy, it might mean animals raised to be shot as trophies and in both cases, by most definitions, it would mean male deer with large antlers and that makes no sense at all in the context of the issue.