Shanice Smith, 26, had last been seen leaving work in the Gilmerton Road area of the city at around 8am on Thursday morning.
Her sister Alysha Smith posted a message online to say that her family was “worried sick”, amid growing concern over her welfare.
However, the police have confirmed that Shanice was traced on Friday.
A Police Scotland spokesperson thanked the public for their assistance.
Shanice’s aunt, Angie Poynts, posted online: “Thanks for everyone’s help, Shanice has been found safe.
“We are grateful for everyone’s help over the last two days.”