Here is some tutorial on how to take reindeer shots: you call the animal by its name, and then it might come to you. You give it some nice dadelions to eat. You stroke its nose. Talk baby language to it. Take some portraits. When it leaves, you can take a shot like this :)
That's what I did, and I'm not joking. His name is Össur, and he lives in Klaustursel.
Exif: ISO 100 ; f/4 ; 1/160 sec ; @159mm
Subject distance: 19 m