"The objective was exactly that - to be in the hat for the next round," said Wilson.
"Performances sometimes in the cup go out of the window when you see the result at the end of the day. I have to say it was very difficult, particularly the first 45 minutes as York played very, very well.
"They got us on our back foot and pressed us really well. They had a couple of good chances - maybe half chances as such - but they got in between us a few times.
"We could have been one or two behind but we weren't. We did some good defending but they had one or two shots that went off target. Second half, we were more like ourselves.
"In the second half, we passed the ball better and retained the ball better, certainly up the top which helped us get up the park and link the play better.
"If it'd have been 1-0 tonight I would have settled for it. The way Nigel's got his team playing, it's a very good result for us in the end."
Devante Cole notched a goal on his full debut after brilliant work from James Bree down the right, and the game was finished off by a wonder-strike from Kane Hemmings.
"It was good because we've talked a lot about overloads on the outside, and we said James and Reece could be the difference. The cool finish from Devante meant we could take charge of the game.
"We want him (Devante) to start to blossom here and goals will confidence to strikers. In large parts of his game he did very well today.
"It's a great learning process for him and James Bree, Brad Abbott and Adam Davies in goal who are all very, very young.
"We know he (Kane Hemmings) can do that, you want to see him in training doing in. He's very selfish in front of goal and very powerful - he's not afraid of missing and that's a great trait to have as a striker. If he blazes it over the bar then so be it.
"Today it took a while for the whole team to get going but once we got it into our stride, we saw a difference in the team."
