He admitted the fans were right to harangue him and his players after their worst performance under him.
Hughes said: "I can understand the reaction, it was exactly my reaction to that performance. We won't hide or try to make it positive. It was negative because it was a huge game for QPR and we have not performed.
"When that happens it puts us in a situation that no-one anticipated this year, but we are where we are. I don't run away from challenges. This is a huge challenge.
"It was a huge challenge in January when I took it. I knew it would be problematic.
"There weren't too many people queuing up when I decided it was the right role for me.
"The fans are well within their rights to criticise me, the staff, and the team because the manner of the performance was not the required level, but we have to take it on the chin.
"I don't run away from situations. I came into this with my eyes wide open and it's my intention to see it through."