But with extra-time looming Cole struck to break home hearts with a clean finish from the edge of the area after Turner's error in judging a long ball forward.
And police are happy with the area around Pittodrie, so Aberdeen's game at home to Hearts will go ahead.
The result means that Rangers' Glasgow rivals Celtic can go top of the table with victory at home to Hearts on Sunday.
"We already know where we think we went wrong, " the manager said after a 0-0 draw at home to Hearts was not enough to prevent Rangers winning the league.
And he and Stokes are hoping to feature in Saturday's home game against Hearts.
They are away to Dundee United on Saturday followed by a home match with Hearts next Tuesday.
The Dons sit in seventh place after the 1-0 home loss to Hearts.
BBC: Mark McGhee pessimistic over Aberdeen's top six chances
At one stage, Rangers were seven points adrift of holders Celtic - and written off in most quarters only to defy all the odds to triumph by four points as their city rivals stumbled to a home draw with Hearts.
And any actions we must take must begin inside the home and inside our hearts.
The first leg of the final will now take place on 2 January at Hearts' home ground in Accra, with the second leg a week later in Kumasi.
Graham Carey's spectacular free-kick had given the home side the lead as Hearts battled to secure a place in the Scottish Premier League top six.
The home side eventually made a deserved breakthrough after 55 minutes when Forbes volleyed home after the ball had evaded Hearts defender Craig Thomson.
The defeat means Accies remain at the foot of the table, having failed to win a home league game this season, while Hearts have now firmly cemented third place behind Rangers and Celtic.
Hearts failed to respond, prompting home fans into chants against controversial owner Vladimir Romanov.
Falkirk host Hearts in the SPL, with the home ground passing a stadium inspection on Saturday morning.
Back home, the Pakistani government is fast losing the hearts and minds of many of its own people.
Here at home the waiting list for kidneys, livers, hearts and lungs comes to nearly 100, 000, and that number will mushroom as the huge baby boomer contingent enters its golden years.
As the home kitchen becomes more and more the battleground for the hearts and minds (and stomachs) of the consumer, every piece on that playing field will become a strategic assault weapon.
As the winner of two Purple Hearts, Murtha said the troops should begin coming home from Iraq now.
Before he took me home, he tossed all the cookies, all those red hearts, out into the snow to feed the winter birds.
Rangers' home game against Dundee United and Motherwell's trip to face Hearts, both on Wednesday, are still scheduled to go ahead.
Hearts defender Ismael Bouzid was also whisked away to the home dressing room for treatment for several minutes after sustaining a head knock in a collision with United captain Daly.
Hearts were probing the Saints defence to little effect when the home side went further ahead.
Saints' first home win of the season puts them level with a fourth-placed Hearts side still looking for their first away since February.
The home side kept battling to rescue at least a point, but it was Hearts who came closest late on with a Kyle header wide.
The Czech midfielder produced a moment of magic for Hearts shortly after the half hour mark, smashed a dipping volley home from 18 yards, leaving Tomas Cerny standing.
There was little initial reward for the home side other than a long-range free-kick from Shunsuke Nakamura as Hearts settled.
Farmers are famously conservative with their money, but surely there are a few who have, stirring in their hearts, a desire to show off a little by buying a grander home.
However, the Easter Road side host the first Edinburgh derby of the season on 6 November, with Hearts hosting the New Year's Day fixture before Hibs are at home for the third meeting on 2 April.
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