The woman had just withdrawn money from a cash machine in Provost Watt Drive when she was approached by a man who tried to take it from her.
She was pushed to the ground in the process, and he made off on a white bicycle in the direction of the playing fields.
Police are asking anybody with information about the incident, that happened at around 4pm on Monday, May 3, to come forward.
Detective Constable Christopher Chapman said: “This was an unprovoked attempt to take money from and elderly woman who was left very shaken by what happened.
"She was pushed to the ground and fortunately she was not injured but this kind of behaviour will not be tolerated.
“If you can help please contact us on 101, quoting incident 2297 of Monday, 3 May, 2021.”