The unnamed officer was patrolling an apartment complex in Baytown late on Monday and attempted to detain the 45-year-old woman. But the woman's family says she was not pregnant, and an autopsy will confirm one way or the other, ABC Newsreports.
Witness video from the encounter, which was posted to social media and went viral overnight, shows the officer attempting to apprehend the woman near a parked vehicle. "I'm actually walking to my house".
Dorris said he does not plan to release the name of the officer, at least not for several days.
But as he was trying to arrest the woman, she managed to get hold of the stun gun and used it on the officer.
The unnamed woman was on the ground and appeared to reach towards the officer when she seemed to say "I'm pregnant".
Floyd Rubin, who shares two children with Ms Turner, said that police have not shared any details with his family about the shooting.
The officer, an 11-year veteran, was treated for minor injuries, police said.
"It's a tragic event for everybody involved", Dorris said during an interview with local CBS affiliate KHOU.
The police are also trying to locate the person who filmed the shooting and uploaded the content to social media.
The officer is now on administrative leave, in accordance with standard protocol.
"The Harris County District Attorney's Office is on scene and assisting in the investigation, as is normal in these types of incidents", police said.
Residents of the apartment complex told the station that Turner was harmless and that she typically just walked around the neighborhood with her pet. "It was a sad situation", Cuellar said.
Antoinette also added that her sister was on medication to treat schizophrenia. "It's extremely disrespectful for everybody involved. (She) actually tased the officer, which forced the officer to draw his duty weapon and fire multiple rounds at the suspect". "But that's the day and age we live in with social media".