Nara was the ancient capital of Japan, predating it's neighbour Kyoto by 84 years.
One can't think of Nara without thinking about the deers.
According to legend, when Kasuga Taisha shrine was founded as a family shrine for the Fujiwaras, who was a dominant aristocrat clan in the 8th century (during the Nara and Heian period), they invited a mighty god, Kasuga and the god came to Nara riding on a white deer. Since then, deers have been respected and protected as divine messengers by local people.
An oh! Here's an old photo of Raimie with deers in Miyajima. ^^