The Buddies stunned the visitors after just 12 seconds when Kenny McLean drilled home the opener, before Paul McGowan added a second.
Butcher's men were given a boost with the sending off of Jim Goodwin, but their efforts came to nothing as they suffered a fifth successive defeat.
"We have to give the fans something back in the next four games. We work all week on the way we want to play. We work on a shape and a system and then we concede a goal after 13 seconds," Butcher said.
"All that work during the week is gone in 13 seconds. And then we've tried to get back into the game, no panic, no pressure let's get on with it. Sometimes maybe it's a good thing if you lose an early goal because it takes away the threat of conceding because you have conceded - and then we lose a second goal.
"So you're 2-0 down and facing a mountain to climb really.
"The sending off. Although it didn't help St Mirren, it certainly galvanised them and made them defend a two-goal lead very resolutely, but we've had enough pressure and enough chances to put decent balls in the box.
"We pushed four men forward. We haven't scored a goal for a long while, it's a fifth straight defeat, and we have to look at the derby next week and pick a team that's going to compete and do Hibs proud, but at this moment in time we'll have to find one."
St Mirren boss Danny Lennon was proud of his players, having to hang on with 10 players for an hour.
"It was a monumental performance and I'm delighted," Lennon said.
"The players were outstanding. They played for one another, they played for the jersey and they played for that wonderful support.
"We got off to a fantastic start after 13 seconds with a fine goal, Kenny McLean gets into the box and that's one of his key strengths.
"Then we go for another one, which was very pleasing because any time we've taken a lead this season we've let the opposition back into it.
"We had a lot of creative players out there who had to do the donkey work and they did fantastically well."