"There were three defining moments in the match, a great save and two fantastic strikes, but I'm disappointed with our performance, which lacked energy and desire," Dyer (pictured) told the South Wales Evening Post.
"We gave the ball away too cheaply and didn't turn up, especially in the second half, but we played a very good Port Talbot side."
Steelmen's manager Mark Jones was elated after two super goals from Scott Barrow and Neil Thomas turned the tide.
"It was a fantastic victory," he said. "We said before the game that this was a special occasion in front of the cameras and the players did not disappoint.
"Kendall's save was the best I have seen in the Welsh Premier and Scott's free-kick the best goal I have seen at this level.
"Our back four were superb and Leigh De Vulgt deserves special mention as he is an unsung hero at this club.
"Our midfield won their battle and the two lads I brought in as Martin Rose was suspended - Drew Fahiya and Daniel Thomas - were both magnificent.
"But all 14 played their part in an important win for us."
A late Lee Jarman winner at Carmarthen sent Llanelli top of the table going into the New Year, but Llanelli boss Andy Legg is not getting carried away.
"The lads have done brilliantly as we have not been together for two weeks because of the weather," he said.
"But it's not where we are now that counts but where we are at the end of April, and there's a lot of football to be played before then.
"It was a tough match, exactly what you expect from a local derby, but we now look forward to the return this week."
Old Gold boss Deryn Brace was disappointed: "Football can be a very cruel game at times," he said.
"When we equalised with five minutes to go I felt it was no more than we deserved. But a scrambled set-piece did us again.
"It was the second set-piece they had scored from and that is very disappointing from my point of view.
"Our inability to defend set-pieces is costing us dear, but I was pleased with our passion and desire, but that should be present in every match we play."