Tottenham would have gone second with a win and third with a draw, but instead are now sixth after losing 2-1 at home to Aston Villa, despite taking a fifth-minute lead.
They suffered only their second league defeat since Thomas Frank replaced Ange Postecoglou, whose Europa League triumph was not enough to keep him in a job.
In some regards, the poor result after a good performance on Sunday, was similar to those league matches last season under Postecoglou, who was sacked by Nottingham Forest yesterday after only 39 days in charge of them.
Frank received a setback just before the match as club skipper Romero suffered an injury in the warm-up, with Austria international Danso drafted in for his first league start of the season, while Micky van de Ven was handed the armband.
However, they still managed to take an early lead through Rodrigo Bentancur's half-volley and thought they had gone 2-0 ahead in the sixth minute only for Mohammed Kudus to be judged offside as he had started his run too early before arrowing a low strike into the bottom corner.
After Rogers' equaliser, Tottenham arguably had the better chances. Mathys Tel failed to connect with a close-range volley after referee Simon Hooper allowed play to continue, despite the ball earlier hitting him and Van de Ven wasted another opportunity by heading over.
Villa's winner - only their second shot on target - came against the run of play and Tottenham could still have levelled.
Striker Randal Kolo Muani - on his first Premier League appearance since his season-long loan from Paris St-Germain - and Brennan Johnson failed to convert chances as Emery's men, with Spurs now having just one point from their past three home league games.