He then played for Elgin City for one season.
They now have a new rivalry with Elgin City.
Elgin City scored 40 seconds before the tie went to penalties.
After only one home league win in the whole of 2011, Peterhead at least started 2012 with a 3-0 victory over Elgin City.
His first start was made a few months later on 15 February 2003 away at Elgin City as an attacker.
On 7 August 2010, the opening day of the league season, he scored twice in a 5-3 win over Elgin City.
After leaving Aberdeen, he played for and later managed Elgin City.
Wyness signed for Elgin City during the 2012 summer transfer window.
Dempsie then returned to Elgin City for a second stint.
He made his debut on 26 September, in their 1-0 victory against Elgin City.