The Liverpool vice-captain has praised Sterling's attitude after a difficult week.
It was a poor performance from Liverpool as they made it back-to-back wins for the first time in the Premier League this season.
Sterling was key to both own goals scored in the game as Liverpool received some good fortune to climb to fifth in the Premier League table - and if Manchester United drop points at West Bromwich Albion tonight, that's where they will remain.
Henderson praised the 19-year-old after a difficult week when there was something of a furore surrounding him after England manager Roy Hodgson indicated he didn't want to play a qualifier against Estonia because he was tired. Any notion that he refused to play has subsequently been dismissed by Sterling and those inside Liverpool.
Henderson told the Liverpool Echo: “Raheem was outstanding.
“From start to finish he got on the ball and was a real threat all day for us.
“Philippe Coutinho and Raheem did really well for the winning goal.
“For a 19-year-old to perform like that after all the hype and all the pressure around him this week was brilliant.
“His focus on the game was fantastic and it just showed how mature he is.”
Sterling played for 95 minutes yesterday and is likely to feature heavily in the encounter against Real Madrid as the Reds look to give their Champions League campaign a huge boost. He was one of the brighter sparks in a pretty poor performance. After a week where the spotlight has been fixed firmly on him, he managed to put it all behind him to play a pivotal role in what could prove to be a big victory for Liverpool.