Neither side seized control of the match in a disjointed second half and, as the nervous hosts retreated with five minutes left, Swans substitute Oli McBurnie nodded down for Ayew to convert from close range before substitute Luciano Narsingh converted a rebound to spark ecstatic celebrations in the dugout and the away end.
I'm not thinking just because we won one game that it is paradise, full of birds and flowers.
But he said: "Before the game if you asked 100 people if Swansea will be relegated, 100 people would say Swansea will be relegated".
"The last 15 minutes we solved this problem. We have a hard game against Tottenham on Tuesday, which will not be easy, and we have a very short time to prepare the strategy of the team". We started taking risk and put more players in attack.
"I must give congratulations to my players".More news: TaxSlayer Bowl: Lamar Jackson's mistake-filled day leads to Mississippi State win
Yet his unconventional personal promotion could last longer than the six months most Swans fans envisaged if his new side show the spirit they demonstrated at Vicarage Road.
"A$3 big disappointment", Silva told a post-match news conference. They had one shot early on, through Ayew, and then didn't create one chance until their goal.
"We did enough to win this match".
Stefano Okaka brought down Heurelho Gomes's goal kick skillfully before weighting a ideal pass inside the left channel to Richarlison. We controlled the game until that moment. We needed to score a second goal.
However, although Brighton keeper Matt Ryan had to make good saves from Isaac Hayden and Dwight Gayle, the technically superior visitors enjoyed the better of the game and might have emerged with more than a point had Karl Darlow not managed to repel Lewis Dunk's 68th-minute header.