The man dodged gunfire as he tried to intervene in the fatal attack on Patricia McKay outside a US shopping mall on Tuesday.
The US President was trying to reassure state leaders about his ability to defeat Trump in November.
The US President is seeking to shake off calls for him to drop out of the presidential race after his shaky debate performance last week.
Biden's poor debate performance against Donald Trump last week set off a wave of panic within the Democratic party.
The woman was hit by a car and killed during a robbery.
Three alleged offenders have been arrested.
Rudy Giuliani is also in debt for defaming two election workers and faces several other lawsuits against him - as well as criminal charges.
A growing number of Democratic leaders say they want the President to step aside for the good of the party - and the US.
The US President acknowledged his debate performance wasn't his best but blamed it on jet lag.
