Dallas Police Chief Renee Hall said on Friday that authorities were preparing a warrant to arrest Guyger on a manslaughter charge, but that was postponed when the investigation was handed over to the Texas Rangers. When the circumstances "led us to another direction", she said the department invited the Texas Rangers to take over and conduct and independent investigation.
Hall said that her department was in the process of obtaining a manslaughter warrant for the officer Friday, but the Rangers asked police to "hold off" on the warrant.
She posted $300,000 (£232,000) bail, ABC reported, and has been released.
In the May 2017 incident, Guyger was trying to identify a woman in a vehicle when another passenger got out and took her taser, police said in the release.
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His mother flew over to Dallas following the shooting. She called 911 afterward, police said.
She says going forward the group expects transparency and accountability in the case. "Based on that interview, they asked us to hold off on the warrant until they had an opportunity to investigate some of the information that was provided during that interview", Hall said.
The Texas Rangers will take the appropriate time to review the vast amount of evidence and information secured by Dallas Police Department investigators. This investigation is ongoing and we will release additional details as they become available and it is appropriate to do so.
The 30-year-old Guyger killed 26-year-old Botham Jean on Thursday.
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According to police, Guyger shot and killed Jean after returning in uniform to the South Side Flats, where they both had apartments, following her shift.
Botham, who worked at PricewaterhouseCoopers in Dallas, died at a hospital, police said.
Dallas News reported that Guyger had previously been involved in a shooting, "The officer who killed a man in his apartment Thursday after she apparently mistook it for her own home also shot a suspect during an arrest in 2017".
Attorney Lee Merritt, who is representing Jean's family, also said that Jean did not know the officer, according to family members. In 2017, Guyger shot 47-year-old Uvaldo Perez, who had wrestled a Taser away from her. Hall said the officer's blood was drawn at the scene so that it could be tested for alcohol and drugs. She then drew her gun and fired, wounding Perez in the abdomen.
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"It is important that the citizens know that I believe what Chief Hall has done is the right thing", the mayor said at a news conference.
Botham Jean was a native of Saint Lucia who graduated from Harding University in Arkansas.
A criminal homicide is charged as manslaughter when a person "recklessly causes the death of an individual", according to the Texas Penal Code. If it was a white man would it have been different?
Mr Jean's mother, Allison, said in an emotional statement that the police officer: "Has to face whatever the law says".
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"Super scary because the police are supposed to protect you and then they come home and you're just hanging out in your own house and then they come home thinking they're home or whatever", said Richard Healy Nelson, who lives in the complex.