LAPD Investigating Selena Gomez Death Threat

Thomas Brodnicki -- a man with a criminal history of stalking -- allegedly told his shrink he was going to kill Selena.

According to the declarations of Selena and her lawyer, Blair Berk ... Brodnicki told the shrink he traveled from Chicago to L.A. to meet her, visited her workplace at least 3 times and has told people he had conversations with God about killing her. Selena says she is in "extreme fear," believing he will carry out his death threat against her if he isn't stopped.

Brodnicki was picked up for mental evaluation last month for allegedly threatening to "scratch people's eyes out on the street." While he was being held for mental evaluation, he made the threats to the shrink.