The Gunners went 2-1 up after going behind to Wilfried Bony’s header but then let their lead slip as Mathieu Flamini scored and injury-time own goal.
“At 2-1 we became too conservative because of what happend on Saturday,” Wenger told BBC Sport.
“And instead of continuing to attack we were more worried to keep the score.”
Arsenal remain fourth in the Premier League, but now trail leaders Chelsea by six points.
But Everton’s 3-0 win at Newcastle means the Gunners’ Champions League qualification is under threat as Roberto Martinez’s side are in fifth, six points behind Arsenal with a game in hand and a match against Arsenal at Goodison Park to come.
And Wenger admitted that the race for fourth place is now more of a focus for his side, who have seven games left.
“I think at the moment the title is not the biggest worry we have,” Wenger said. “We have to be realistic.
“Everton won, so we have to focus and prepare well for the next game. It will be open until the end, but you can still have surprises as well.
“We have not too much room to come back into it, but we have to get some players back. It is difficult to fight with half of the team out.”
After Flamini’s calamitous own goal, which followed second-half strikes by substitutes Lukas Podolski and Olivier Giroud, Wenger said the manner of the result was “difficult to swallow”.
The Frenchman had introduced defensive midfielder Kim Kallstrom, for his debut, to try to consolidate the lead.
“The team gave everything, their spirit was great,” added Wenger. “You wonder how we could draw a game like that, they had nothing in the end.
“We gave them the two goals but overall the spirit was great and we have to recover from that last goal.”
Wenger also said that defender Laurent Koscielny, missing from the Swansea draw, would be missing “for a while” with a calf problem.
Written by Steven Briscoe
