The London-born former Port Vale winger pulled his side from the brink of disaster with two neatly taken goals at the end of each half.
Substitute Luke Beckett then hit the winner with just two minutes left of this pulsating clash, when his strike went in off the post.
Stanley rocked the League One side early with goals from captain Peter Cavanagh and striker Paul Mullin, giving them their two-goal lead inside the opening half hour at the Fraser Eagle Stadium.
Home skipper Cavanagh majestically curled a right-footed free-kick from 20 yards for the opener on 13 minutes. Terriers' keeper Matt Glennon was left helpless as he failed to get anywhere near the ball that flew into the left-hand angle of post and bar.
And top scorer Mullin put Stanley in control 13 minutes later when Roscoe D'Sane punished Nathan Clarke's slip on the halfway line to race clear and lay the ball on for Mullin to tap into an empty net.
Glennon again was left helpless as he tried to block D'Sane, who spotted his striker partner Mullin, who did the rest.
Visiting midfielder Danny Schofield had his side's first real chance of the game when he forced Accy keeper Ian Dunbavin into action eight minutes before the break.
But Town's fans didn't have to wait too much longer for their reply when their hero Kamara slipped a horrible challenge from Mark Roberts on the edge of his own box. Kamara slotted home under Dunbavin with aplomb.
Terriers' manager Andy Ritchie switched his tactics to bring striker Beckett into the fray for the last 17 minutes as a third striker alongside Andy Booth and Danny Cadamarteri.
And he had Huddersfield's first second-half chance when he saw his goalbound flicked header acrobatically tipped round the post by Dunbavin.
Kamara then latched onto Clarke's long throw to smash home the equaliser eight minutes from time, before Beckett broke Accrington's hearts with his left-foot winner.