Meanwhile, Davison was stealing a car from a rental vehicle yard, smashing it through a gate as he left.
He remembered stealing the car, but not the crash, he told police.
Footage from CCTV showed him apparently "unable to stand" before taking the car, The Canberra Times reported.
After the collision, further footage shows him run past Ms Nayler's body.
He was arrested after being found intoxicated, clad only in his underwear after throwing away his clothes.
Davison sent photos of his injuries to friends and referenced going to jail in a message after the crash.
On Monday, he pleaded guilty to theft, culpable driving causing death, failing to immediately stop the car after the fatal accident, entering a car rental service intending to steal.
Other charges were withdrawn.
A pre-sentencing hearing is scheduled for February.