Jose Mourinho was furious with linesman Peter Kirkup for disallowing Salomon Kalou's 56-minute tap-in.
Chelsea drew 0-0 at Stamford Bridge and while they remain unbeaten for 66 homes games, Rovers are now unbeaten in 14 matches.
Mourinho believes that that decision cost his side maximum points.
"It's a question that you have to put to him," said a frustrated Mourinho afterwards.
"There was no question about the goal, everyone knows the answer - it was so obvious, I can't understand it.
"I shall be waiting by the telephone for a call from him and a apology.
"We should have had all three points.
"I think the linesman should explain his decision himself."
Mourinho had praise for his opponents.
"Blackburn Rovers did start well - but we pushed them back.
"I respect their performance and I have nothing negative to say about them.
"We did score a good goal, but it's not enough after all our domination.
"Friedel made some fantastic saves from Shevchenko but we played well enough with great spirits.
"The goals will arrive but we scored the winning goal."
Blackburn Rovers boss Mark Hughes was delighted with the point.
"We stuck at it," he said.
"In the first half we were guilty of playing in our own half too much.
"But we showed a great mentality to come here and get something from Chelsea - not many teams will do it.
"The only negative aspect is the injury to Christopher Samba.
He was unconscious in the dressing room and was taken to hospital. It's a bit of a concern.
"He got a bang and a kick in the head."
As for the disallowed goal, Hughes was adamant the linesman got it right.
"It was offside," said the Welshman.
""It was a half a yard off, definitely.
"It would have been hard to come back from that had it counted.
"The linesman did his job."
As for Chelsea's performance, Hughes said: "They did not create too many chances in open play."
And as far as the title race is concerned, Hughes added: "More teams will be capable of taking points off the top for that should make for a more exciting league."
A Rovers spokesman said of Samba's condition: "Samba is conscious and talking and, fingers crossed, he will fly back up north tonight."