This card's name is based on the mythological "Kudan", a Japanese Yokai that has a human face with a calf's body. The Kudan is said to predict calamities, and dies within 3 days of being born. This card's effect references that by destroying itself when its controller has 3 or more cards in the hand.
"Kuda" also an Indonesian name for "Horse".
The imp-like creature in this card's artwork also appears in that of "The Fabled Unicore's".
The white color of the creature seems to refer to this card's status as a Synchro Monster, all of which have white card backgrounds.
This creature's name is Gree as pointed out in the Duel Terminal Master Guide
This monster is currently the weakest "Fabled" Synchro Monster.