However, many football fans appear to have little sympathy for Pep Guardiola's team, as City are one of the richest clubs in the world, they're 15 points clear at the top of the table, and injuries are a problem for all sides at this stage of the season.
That's because Johann-Berg Gudmundsson popped up with a clinical equaliser in the last 10 minutes to snatch a point for the battling Clarets.
Sterling was then hauled minutes later for the young Braham Diaz, but speaking after the game, Guardiola insisted that had nothing to do with the miss.
With a thumping Danilo effort giving City a 1-0 lead on 22 minutes, Sterling should have secured the three points when he raced onto a Kyle Walker cutback on 71 minutes only to somehow knock the ball wide from three yards.
That advantage was 16 points by the full-time whistle at Turf Moor, and City is just eight wins away from securing a third title, although it was reminded of the league's many hazards by Sean Dyche's obdurate outfit.
With John Stones and David Silva this week joining Fabian Delph, Benjamin Mendy, Phil Foden, Gabriel Jesus and Leroy Sane on the sidelines, City were short on numbers. If i miss a chance, don't speak to me. I'm sad for the players because we played so well. "We could take one from the second team, but they had a game yesterday".
But somehow he missed a chanced which looked easier to score.
"We didn't have any more players", Guardiola said. He's an absolutely incredible manager and the work he has done with this team is unbelievable and the team performance is absolutely outstanding.
"We started putting quality into their box, and in the end it was a fantastic ball and a fantastic goal".