United suffered their 11th defeat of the season in all competitions, and seventh in the Premier League, after a 3-0 home loss to Bournemouth.
Alessia Russo scored twice with Amanda Ilestedt also on the scoresheet after Johanna Rytting Kaneryd had cancelled out Beth Meadâs opener.
Ange Postecoglou paid tribute to Tottenham forward Richarlison after his brace downed Newcastle and earned them their first victory since October 27. Spurs were Premier League leaders at the beginning of November, but had endured a barren run since after a succession of injuries and failed to win any of their last five matches despite taking the lead in each fixture.
The hosts looked on course to inflict a fifth-consecutive winless game on City when Elijah Adebayo rose at the back post to open the scoring.