Parkinson was pleased with his side's performance but admitted that the sending off was a major setback.
He added: "We had chances to kill the game off and take it away from them. Their goalkeeper pulled off some unbelievable saves and you always know with the goal threat that Swindon have in their side, because they are one of the top scorers in the league, that there is always that chance that they could get a goal back.
"Then with the sending off, it became a little bit more tense than it needed to be. All in all, with the disruption we had prior to kick-off with illness and the kindness of the EFL giving us a Boxing Day fixture over a 150 miles away, I thought we coped with it really well and it is a very important win for us when you take everything into consideration."