Movie with character able to take a "god form" with blue skin and animal head

This has similarities with 'Immortal', a French film IMDB Entry

In the distant future, Earth is occupied by ancient gods and genetically altered humans. When a god is sentenced to death he seeks a new human host and a woman to bear his child.

The film has a god-like character which has an eagle like head.

More on Wikipedia

The film takes place in New York City in late 21 century, where genetically altered humans live side by side with unaltered men and women, and where Central Park has been mysteriously encased in an "intrusion zone" where people who attempt to enter are instantly killed. A strange pyramid has appeared over the city; inside, the gods of ancient Egypt have judged Horus, one of their fellow gods, to cease his immortality.

In the city below, Jill, a young woman with blue hair, is arrested. She is not completely human; her tissues appear to be no more than a few months old according to an examining physician, although her physical form is already that of an adult. She also possesses a number of secret powers, including one that enables her to procreate with gods, though she knows nothing of this. Horus is given a limited time to interact with the humans of New York and procreate. During his search for a host body, Horus encounters Nikopol, a rebel condemned to 30 years of hibernation who, due to a mechanical accident, escapes his prison one year early.

Horus has been unsuccessful in attempting to take over the bodies of other humans; due to an incompatibility with the genetic alterations humans have undergone, the host bodies self-destruct while attempting to accommodate a god. Nikopol's body is acceptable as it has been frozen in prison/storage and not undergone the genetic changes causing the rejections. Horus takes partial control of Nikopol's body and starts looking for a woman he can mate with to provide him a son before his death sentence is carried out. When Horus/Nikopol discovers Jill, they become entangled in a web of murder and intrigue.