Officer Betty Shelby Surrenders for Tulsa Shooting

Tulsa Officer Betty Shelby turned herself in overnight and was booked for first degree manslaughter in the killing of Terence Crutcher.

Shelby was in police custody for less than half an hour -- according to her docs, she was booked at 1:11 AM and released at 1:31 AM ... when she posted $50,000 bond.

In the criminal complaint, the Tulsa D.A. says Shelby's "fear resulted in her unreasonable actions" which led to her shooting Crutcher.

Her lawyer says she fired because Crutcher was not following orders and, she believes, was reaching into his vehicle's window.