Aston Villa went ahead through Australian midfielder Brett Holman and although Jamie Mackie levelled for QPR, who had Stephane Mbia stretchered off, Guzan kept the home side's attackers at bay in the second period.
Alex Ferguson admitted Manchester United's tendency to fall behind in games is a major concern after his side launched another impressive comeback to beat Queens Park Rangers 3-1.
Manchester United provisionally returned to the Premier League summit after exposing the size of the task facing Harry Redknapp at Queens Park Rangers by beating the bottom-place team 3-1 on Saturday.
Jamie Mackie's stoppage-time winner handed QPR a Premier League lifeline as the hosts staged a stunning fightback to beat Liverpool 3-2 at Loftus Road on Wednesday.