It turns out that Villa supporters were justified for feeling the way they did: Sadio Mane's deft header from Alexander-Arnold's corner dissected Conor Hourihane and Jonathan Kodjia before nestling into the far corner to make it 2-1 to the league leaders.
Juergen Klopp's side were staring at their first league defeat for 10 months and having their lead halved but Andy Robertson headed them level.
Liverpool scored twice in the final three minutes plus stoppage time at Villa Park to turn another losing position into a vital victory.
Tammy Abraham was yet again crucial to Chelsea's attack, scoring his ninth goal in 11 games off a pass from Jorginho which sliced through the Watford defence. We will see. Now we go to Italy and when we come back we go to Anfield.
Arsenal and Wolverhampton Wanderers drew 1-1 after Raul Jimenez scored for Wolves in the 76th to even out Pierre-Emerick Aubameyang's earlier goal for Arsenal.
Sheffield United are up to sixth after a 3-0 victory against Burnley and Brighton beat Norwich 2-0. "That's why this is the best league in the world, every single game can be like this one".
Newcastle climbed out of the relegation zone with a 3-2 win at West Ham.
Late winners for Liverpool and City kept the gap between the top two still at six points ahead of next weekend's top-of-the-table clash at Anfield.
For the third time in seven days, Liverpool displayed their mettle in the face of adversity. How many centuries and they don't lose at Anfield?
The Senegalese also won late penalties at home to Leicester and Tottenham in recent weeks to turn 1-1 draws into 2-1 wins.
For City, the hero was Kyle Walker, setting up one goal and scoring the victor against Southampton in the 86th minute.
Liverpool had a Roberto Firmino equaliser ruled out in the first half for offside - VAR confirming the decision despite it appearing a dubious one.
But Klopp's side would not be denied as Robertson and Mane sealed the points in dramatic fashion.
"You just have to keep playing and I know people will judge us but I think we deserved at least a point". "On days like this, in a stadium like this, you just have to be ready to fight".
The Reds stayed top of the table on 31 points with the result, while second-place Manchester City similarly came from behind to beat Southampton 2-1 with a late victor.