Manager Mark Yates kept his cool after watching Cheltenham go down 3-0 at home to Accrington but made his disappointment clear.
Clinical Stanley shocked the Robins with a superb display of finishing to destroy the hosts' previously unbeaten record.
Cheltenham were on the back foot from the fourth minute when Padraig Amond slotted home. Town had the stuffing knocked out of them in the 34th minute when George Miller slammed home from close range, before Romuald Boco added a third minutes after the break.
Yates said: "It was a nice little wake-up call after doing so well in our first three games. It shows we still have a great deal to do.
"I'm not going to rant and rave but my players know just how disappointed I am. Maybe I got my team selection wrong and I'll take the blame for that. The players I put in didn't do it and as a manager I have to take the flak.
"We'll get back on to the training ground quickly and make sure we put matters right."
A delighted Stanley manager Paul Cook refused to get carried away after his side's excellent victory.
He said: "Cheltenham are a very good side and they'll be up there at the top end of the table by the end of the season.
"This is a very strong ground to come to but, that said, I thought we looked a threat throughout the game. Last week we got beaten by Exeter and I felt exactly the same about that as I do about this.
"We've been trying our best to create a work ethic and that's the important thing. We just keep working hard and then these sort of things happen. We've won a game. That's all we've done at the moment."