Under pressure Kilmarnock manager Gary Locke says a wrong call by referee Steven McLean in awarding Motherwell a penalty denied his side a draw.
Louis Moult's solitary goal earned the Lanarkshire men their second league win of the campaign to leave Killie bottom.
McLean judged Mark O'Hara had fouled Moult inside the box in the first half.
"I've looked at it again on the video and I don't think it's a penalty - I think he's got it wrong," Locke told BBC Scotland.
"But, unfortunately for us we've got to accept it.
"It's really disappointing because in the second half I thought we were on the front foot. For me it's a pretty poor decision that's cost us getting a point."
Locke acknowledged the pressure he is under with Kilmarnock still bottom of the table having failed to win any of their six league games this season.
Taking into account the form at the end of last season, the Rugby Park side have won only one of their last 15 league matches.
"I'm well aware we need to start winning games," admitted Locke.
"But I've certainly seen signs today it was more like us - we were on the front foot more often.
"I thought when Tope Obadeyi came on he gave us a wee bit of impetus. We created a lot of chances but we've got to take them. But it's a poor refereeing decision that's cost us a point."
Locke's Motherwell counterpart Ian Baraclough also was disappointed with the officials as he claims Moult's effort, which was disallowed for offside, should have stood.
Baraclough said: "I haven't looked back at the penalty, but I know the disallowed goal first half was onside. Does that even it up if it wasn't a penalty?
"Every three points is hard fought. We had a good spell first half and could have come in more than 1-0 up.
"They were always going to come out and put a little bit more pressure on us in the second half.
"I think we should have managed the game a little better by keeping the ball when the chance was on rather than running with it. Our decision making at times was average, but maybe I'm being picky.
"I'm frustrated that the two games in the last week we've won are probably our two poorest performances."