Ainsworth's first game in charge, then as caretaker manager, of the Chairboys was a 3-0 defeat against the Daggers back in September.
Wood's first-half strike ensured Ainsworth gained a measure of revenge on his former boss - the midfielder played under Still at Lincoln - but he was in no mood for gloating.
"I have a lot of respect for John. I played under him and he furthered my career as a player with the advice he gave me," said Ainsworth.
"And he has as a manager too. After the last game between us he gave me the best advice I've had since becoming a manager. He said don't let the highs get too high and the lows get too low, and that's really shaped my attitude towards management."
Daggers assistant boss Wayne Burnett admitted, with the clash one of only three League Two games to go ahead, his play-off chasing side had missed a trick.
"We are obviously disappointed, we are just ticking along under the play-off places and if we had won here that would be 40 points and just off the play-offs," said Burnett.
"We had a real chance to put some pressure on the teams above us but this game wasn't a Dagenham performance and that is disappointing.
"It is one step forward and two steps back. Losing Dwight Gayle and Michael Spillane wasn't why we lost this game, we as a group didn't perform. We were second best from one to 11 and we have to move forward.
"But we have got some good young players under the surface. Louis Dennis came off the bench and has come back from Canvey Island and has the potential to be a top player, he just has to show it on the pitch now for Dagenham."
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