Rovers were beaten 22-16 at Manchester's Etihad Stadium, with Hull's Chris Green scoring the winning try with just over two minutes to go, but the score was incorrectly given by video referee Steve Ganson.
"I owe it to the fans, players and coach to ask for the RFL to issue a proper explanation for what has to be the single worst decision in the last 10 years of rugby league," Hudgell said.
"I had a call last night off Steve Ganson with an apology and explanation for making the wrong decision. I like Steve and respect him for doing that, and our conversation will remain private. The apology since issued by the RFL though is wholly inadequate."
Ganson, 43, a former referee and and a current officials coach, failed to spot that Green was offside when he chased a Danny Houghton kick and was never brought back onside.
Rovers coach Craig Sandercock called the decision a "tragedy" while current Man of Steel Sam Tomkins said it was the worst decision he had ever seen. Ganson issued a statement of apology through the RFL last night and has been stood down from video duties for tonight's Magic Weekend clash between Leeds and Wigan.
The RFL statement was issued with quotes from Jon Sharp, the head of the bodies' refereeing department. Sharp is a former Hull FC player and assistant coach and Hudgell went on to suggest that the incident could have an impact on the future of Sandercock, whose deal is running down.
"I have a group of players who are distraught that their efforts have not had the reward which they deserved," said Hudgell, whose side led 16-6 with just under 10 minutes left.
"I have supporters who have again turned up in their numbers at great expense and who feel cheated, and a coach fighting for a new deal whose livelihood could stand or fall on these decisions.
"For all of them I need more than 'sorry' from an ex-Hull FC player, coach and vocal advocate down the years. It is empty and tokenistic and an insult to our fans. The clear impression is that 'sorry' is enough and all is forgotten come Tuesday when everyone goes back to work. They are baffled and mystified and need to know why the call was made, and what lessons will be learnt from it."