With strong winds and rains forecast from early in the week, the Dons boss made it clear to his men that the conditions could be no excuse, and they looked comfortable in overcoming the Buddies.
Lennon said: "The conditions played a big part. Today's game was being built up as two good teams coming against each other in good form, and they would have come along expecting to see that type of quality, but the elements didn't allow that.
"We've got to dust ourselves down and take it on the chin. We've been on a good run lately and we're going to have to get back on that road very quickly.
"The goal we had disallowed was a big call by the official, and from our angle it looked very much onside. It's difficult enough to come here without decisions like that going against you and to concede the goals in the way we did was disappointing.
Lennon was in general pleased with his side's performance, however.
He added: "I thought after the initial 10-15 minutes of the game, we settled in really well and took the game to Aberdeen, getting good crosses into the area. We continued that into the second half - but the goals went against us.
"I can only recall the good form that we've been on and look to go and continue that."
Goalkeeper Marian Kello was involved in both the goals St Mirren conceded, but Lennon refused to pin any blame on his goalkeeper.
He commented: "We win games together, we draw together and we lose together. He's a very, very good professional and has brought nothing but quality to our group. There will be no finger-pointing."