Sebastien Bassong netted on 90 minutes for Norwich to draw 1-1.
The result came after an impressive win over Manchester United last weekend and extended their unbeaten run in all competitions to seven games.
When asked if his side deserved the point, Hughton said: "I thought we did.
"Over the 90 minutes we had a long time to get back in the game.
"From our standards of late, we conceded a very soft goal and in that first half we didn't keep the ball well enough.
"Everton were the better team over that first 45 minutes.
"But when you are 1-0 down, you have to chase it and ask a little bit more of the players. I think we got that.
"I thought we responded really well. We showed great character.
"I don't think there was masses in it. It was quite a tight affair."