The Reds went agonisingly close to taking an early lead in the Women’s Super League fixture at Meadow Park, with Sophie Bradley-Auckland’s attempt being tipped onto the inside of the post by Manuela Zinsberger.
But it was Arsenal who edged in front as an even opening half an hour drew to a close, thanks to Vivianne Miedema’s clinical finish.
Vicky Jepson’s side then held firm in the face of steady pressure from the reigning WSL champions.
However, the Gunners’ dominance of possession and territory meant the visitors were unable to threaten Zinsberger’s goal in the second half and their wait for a first league win of the season goes on.