Hello, someone told me that in Europe they don't use the term "deer hunting" but rather "deer stalking" is this true?

We use "hunting" as the general term for all hunting modes. "Stalking" is what you would call "still hunting". Then we have "drive hunting", highseats (= stand hunting), etc.

Shooting = Pursuit of Birds and small ground game (Hares and Rabbits) with a shotgun.

Stalking = Originally the pursuit of Deer on the open hill with a rifle and telescope, you might call it spot and stalk, but now also includes woodland stalking both from high seats and "still" hunting.

Hunting = the pursuit of ground game (foxes, hare or deer) with hounds. Those hunting may be either on horseback or on foot.

Think that covers it.
Brian.

Stalking is the generic term used for shooting deer. ....Hunting is the generic term used for the pursuit of .....animal with hounds. Thus the term deer hunting in the UK means donning a red coat getting on your horse and following a pack of hounds (at least for this year, next year is likely to be banned)As your horse is called a 'hunter' you will see why the use of the terms deer hunting/hunter when referring to the shooting of deer makes us wince.

The inexorable spread of US and European practices, equipment and language (esp via the internet) is to an extent starting to soften this.

The person who shoots is called a gun - a shooter is something like a sawn off shotgun used in a bank job....Language don't you just love it!

stalking is the term used for the hunt to gain your deer after sighting it or at least knowing its whereabouts,,see deer then stalk it.