Adding to the frustration for Stewart was the fact that he had to watch the game from the sidelines after being sent off a couple of games previously.
The result ended a four-game losing streak but the team were booed off the pitch by the Pittodrie crowd.
Stewart said: "It was a frustrating day. I can't fault any of the performance.
"Our attitude, mentality towards the game was a lot different to when we played Kilmarnock. All we can ask for is a reaction. We wanted the result but we weren't clinical enough.
"I can understand why they booed us and I get their frustration. As players you never like to hear it but we are working hard and are going to put things right eventually.
"They always support us so if they are frustrated, then why not voice it?
"It's a big club and there's high demands and pressure on us to perform."
Stewart is determined to atone for his recent red card, which came when he pulled down Jonah Ayunga after losing possession on the edge of his box.
"As captain and from my own individual standards, that was poor," he said. "Unfortunately I made a mistake to get sent off and I take that on the chin.
"One thing about me is I won't hide and I won't shy away from the fact that I know it was a mistake, I let the team down on the day. I will come back stronger."
After his red card that saw him miss the game against Ross County, Stewart revealed that he received racist abuse on social media.
"It's the first time I have had to deal with it. I wouldn't say it knocked me. It gave me a perspective but at the same time the support from the club has been excellent and as far as I am concerned, it's been dealt with.
"The club took it into their own hands and dealt with it correctly, so I am happy with that."