Liverpool host Manchester City at Anfield on Sunday in an encounter which will have huge implications on this season's title race, the league leaders now six-points ahead of Pep Guardiola's side ahead of the latest instalment of what is a growing rivalry between the division's top two.
Arsenal offered precious little after going behind and have now won just two of their last 10 league games.
After early signs of promise at the start of the Spaniard's reign last season, Arsenal have now taken fewer points in Emery's first 50 Premier League games in charge than the final 50 of Arsene Wenger's 22-year tenure.
Tottenham slip to 12th and was lucky to even escape with a 1-1 draw as Sheffield United impressed once more to move up to fifth.
"The reality is that for different reasons we are not showing the performances that we expect", Tottenham manager Mauricio Pochettino said after the match.
"We are not in a good position in the table".
John Lundstram struck the post for the visitors with the best effort of the first half, but a rare defensive error from the Blades set up Son Heung-min to open the scoring with his eighth goal of the season just before the hour mark.
McGoldrick thought he had equalised just two minutes after Son's opener, but VAR replays showed that Lundstram's toe had been marginally offside in the build-up - a decision that was so close it took nearly four minutes to make.
To their credit, Chris Wilder's men were not downhearted and survived another VAR review when George Baldock's cross from the right evaded everyone and found the bottom corner.
Burnley had lost their previous three games but dominated on Saturday after Ashley Barnes poked home in the 11th minute.
The Blues started the month with a 4-1 victory away to Southampton before a 1-0 home win against Newcastle and ended the month with a 4-2 win at Burnley.
Tom Davies gave the Toffees the ideal start at St Mary's before Danny Ings equalised early in the second half.