"Unnamed male deer" is not an official name yet. It may have been referenced in the storyline as such, but has not been officially named. Alternatively, it may be a name popular among fans, but has no official basis.
The unnamed male deer acts just like a typical father of a family. He is shown to be caring for his mate. He is also very concerned about the welfare of his child, responding only to Jake's baby deer call.
He takes the appearance of a typical buck. He has brown and white fur. He also sports the signature antlers, as all other male deer.