While it remains unclear what prompted the fatal shooting of Jonathan Joss, a Native American voice actor best known for his work on the animated television series “King of the Hill,” police say they are looking into whether his sexual orientation played a role in his death.

A neighbor in San Antonio who opened fire on the actor during a dispute was charged with murder, the authorities said. Mr. Joss also appeared in “Parks and Recreation.”

Joss died at the age of 59 in a shooting outside of the San Antonio home where he was raised, according to multiple reports.