Arsenal would have returned to the Premier League summit with a win but now sit second, two points behind reigning champions Manchester City.
There is no time for Mikel Arteta’s players to lick their wounds, however, as they travel to Germany for the second leg of their finely-poised Champions League quarter-final against Bayern.
A 2-2 draw in north London last week leaves the tie on a knife-edge and Rice feels such a big game is just what Arsenal need after a rare slip-up.
“It’s the perfect game for a reaction,” he said.
“We need a reaction on Wednesday night and it is a great chance to show our character and leadership. It’s time to go out there and hopefully get into the semi-finals of the Champions League.
“We have to park this to the side now. It’s gone, it’s a game of football. We’ve lost but we need to bounce back, that’s for sure.
“Going to the Allianz Arena, it’s going to be a special night. It’s time to pull our socks up and show everyone why we’re in this position.
“We’re gutted and disappointed we’ve lost a massive game but, it’s time for a reaction. We’ve been on such an amazing run since January, won so many football matches and got ourselves back into an unbelievable position after being written off at Christmas.”
This was former Arsenal boss Emery’s first trip back to the Emirates Stadium as Villa manager and the Spaniard severely dented the title charge of his old club.
Villa had already hit the woodwork through both Watkins and Youri Tielemans before substitute Bailey tapped home to break the deadlock late on.