I saw this and thought it would be cool if you had the chance to choose your animal companion, in particular I was thinking of falcons.
Falconry was a common practice among who could afford it, and these animals are relatively easy to tame and very loyal.
I think it should fit well in the general atmosphere and, considering the importance of hunting at those times, it could be a significant gameplay element: it may catch some prey for you to store in the inventory or even deliver messages, thus becoming very important in certain quests (although I don’t know if they could be trained to do that).
Also there were already books about this particular hunting discipline that could be available in-game just like the alchemy ones ( Libro de la caza de las aves, by Pero Lòpez de Ayala, for example, is a treatise on this topic written in 1390, chronologically close to the setting of the game).