Torquay manager Chris Hargreaves says a "selfish" decision by winger Toby Ajala cost them a win
Ajala opted to shoot in the second minute of stoppage time when through on goal, rather than pass to the unmarked Ryan Bowman, but saw his shot saved by goalkeeper George Willis.
Alfreton equalised two minutes later through Andi Thanoj's long-range shot.
"You play the selfish game and that's what happens; play the unselfish game and you win the game," Hargreaves said.
|Torquay's recent form:|
|4 January 2015||Torquay 1-1 Alfreton|
|1 January 2015||Bristol Rovers 1-1 Torquay|
|28 December 2014||Welling 0-0 Torquay|
|26 December 2014||Torquay 1-2 Bristol Rovers|
|20 December 2014||Braintree 2-0 Torquay|
"But in saying that, you've still got to win 1-0, regardless of the fact that he should have squared it with just the keeper to beat," he added to BBC Radio Devon.
Torquay have now gone five games without a win in the Conference Premier, their worst run since February last year when they failed to win in six matches as they finished bottom of the Football League.
"I'm lost for words," added Hargreaves.
"There's no excuses, we should have seen it out and we didn't so it's two points dropped.
"I think it was at the end of a period of games where energy levels are low but forget all that, it doesn't matter, you've got to see it out.
"It's a hammer blow. I'm disappointed for the fans that paid to watch, and all I can do is get back to the training ground and try to put it right.
"Those that have got fight in them will join me and will do something."