I think this is where practise on moving targets is beneficial before shooting for real. A couple of sessions on a moving target range should make you more familiar with your rifle or slug gun before encountering real running game. Driven game is normally shot at relatively short range where more instinctive shooting is required. Most countries that shoot driven game normally have a large number of moving target ranges, something that is sadly lacking in this country. In fact I personally only know of three such ranges but another is supposedly under construction in Somerset, though so far this has been on the cards for a number of years now.
In France nearly all gunsmiths appear to access to moving target ranges inaddition to fixed target zeroing ranges and I believe the same applies in Germany and much of Scandinavia.