Cahill believes that the West London outfit may have left themselves with too much to do after slipping up over the weekend.
"If I'm totally honest probably, yes, that's certainly how I felt at the end of the game," Cahill told the club's official website.
"It hurts losing any football match and it certainly hurt at the end of the game because we knew how vital three points would be. For us to not get them is very damaging.
"It's massively disappointing, the feeling at the end of the game was horrible but all we can do is keep pushing and try to win our games."
The Blues will switch their attention to the Champions League this week as they prepare to take on Paris Saint-Germain in the first leg of their quarter-final tie in Paris on Wednesday.