The Grecians dominated throughout and created the better chances in an entertaining game, but for all their endeavour, they could not find a way past Gills goalkeeper Stuart Nelson.
"They are just behind us in the league so this is a big result," Allen said. "We all left home at 6am to make sure we got to the ground for eight because of the Siberian blizzard in Gillingham. It took ages to get down here.
"Did we play great individually? Not really. Did they dig in? Yes. Our goalkeeper had one shot to save in the first half and one in the second half. It is a clean sheet and a good point.
"They are all committed, that is why I always change it around and give other people opportunities to play. They have a respect for each other and I trust all the players to play.
"We played some good football. We tried to keep the ball and move it about because they are not an easy team to play against down here because they keep possession - that is the name of their game. So we had to be patient at times, you can't always win it back quick. There were spells in the game when Exeter had a lot of the ball but we did well."
Exeter manager Paul Tisdale felt his side deserved to take the points but he could not fault his players for their performance.
"It was a very good performance and we gave it a really good go and I think we shaded the game," Tisdale said. "I think that the players feel as though we deserved more.
"We've kept a clean sheet and took the league leaders right to the end of the game. We have had another player carried off (Matt Oakley) and we are being stretched to the limit with the squad again.
"We played really well and the players were not just committed, they really tried to do some good things and I would have backed Jamie Cureton to have made the goalkeeper work for at least one or two of the chances he had. We certainly played our game and I find it very hard to criticise the players because they gave it a really good go."