"I think it was a fair outcome where two teams were poor," Shiels said after the match in Dingwall.
"They didn't entertain the crowd. Our guys have made a long journey up and I'm disappointed that we didn't entertain them.
"It was just a scrap from start to finish, it was awful football. We weren't our usual creative self."
Killie claimed unsuccessfully for a penalty after Rory McKenzie went down in a crowded County penalty area.
But Shiels said: "I don't know, I couldn't see if it was a penalty or not but we can't clutch at straws. We have to do better.
"We just got into a way of playing and we weren't fluid.
"Both teams didn't go out to entertain. We have a little bit of an excuse where we had a shallow squad out [on the pitch] and a lot of players missing. But that's only an excuse. We still have to entertain.
"We've got a point up here, which is good when you consider how well Ross County have done.
"They deserve so much credit, and as a club they've done unbelievably well and where they're at now is fantastic."
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