Police Scotland officers are investigating the attempted robbery which took place at about 1 am on Saturday August 19.
At that time, a 22-year-old woman was walking in the alleyway which joins English Street to Johnstone Street in the town when she was attacked and an attempt was made to steal her handbag.
A tussle ensued and the female was able to keep hold of the bag before her attacker made off.
DC Scott Ruddick from Police Scotland said: “This was a terrifying experience for this young lady as she made her way home after a night out.
The description of her attacker is that he is male, around 5’6” tall, medium build and was wearing a black hooded top with the hood up and jeans.
“We are appealing for anyone who may have been in the area between Lady Street and Wellington Street to get in touch with us if they saw or heard anything suspicious.
“In particular, we are keen to hear of any sightings of this male either before or after the attack.
“Callers can get in touch with police at Annan on the 101 number, or if they wish, anonymously through Crimestoppers on 0800 555 111.”