Nicola Hastings was last seen in Union Street region, on the evening of Friday, September 9.
She is described as a white Scottish woman, 5ft 7in tall, with red hair, of slim build and was last seen wearing a red jumper and gray sweatpants.
Law enforcement officials are asking anyone with information about her whereabouts to contact them.
Sergeant George Martin, of Baird Street Police Station, said: ‘Nicola has not been in contact with her family for some time.
“Our inquiries showed that she was in the city center. We are asking anyone who knows Nicola or has seen her since September 9, 2022 to contact police.
“I would also contact Nicola directly if she reads this appeal to contact us or her family.”