That response "triggered" him, Reynolds said.
"That's when the discipline came in," he told investigators. He beat her with a shoe before he began "blacking out" until he realised she was lethargic and cradled her on the living room floor, the complaint said.
Investigators interviewed a neighbour who reported a commotion, including Reynolds shouting, "Get up!"
Officers described a violent and surreal scene inside the home. There was blood on a wall and the carpet, and Reynolds called his daughter's mother on FaceTime to tell her about the incident as officers were still there.
Reynolds said he was alarmed when the girl's breathing became shallow and his ritual nearly went silent - he could barely feel her heartbeat. He then called first responders.
Police observed him to be "emotionless," the complaint said.
It is unclear if Reynolds is represented by a lawyer.
A neighbour told KOAT that she used to babysit the child. They painted each other's nails. "She was a little angel," the neighbor said. "She didn't deserve this."
Detectives from the child abuse unit have helped in the investigation, Albuquerque Police Chief Michael Geier said.
"This is definitely a heartbreaking tragedy, and our officers and detectives are working diligently at this time to get justice for this little girl," Geier said.