Elisabeth Terland's goal late in the first half proved to be the only difference, with new signing Ellen Wangerheim having done well in the build-up.
The Gunners huffed and puffed as the tried to get back into the game, although Phallon Tullis-Joyce and our defence stood firm to their advances.
Olivia Smith was also sent off for the accumulation of two yellow cards, with the hosts finishing the game with ten players.
FIRST HALF
The game was only a minute old when the first opportunity developed. Ex-Red Alessia Russo picked out Frida Maanum inside the box, with her header well saved by Tullis-Joyce.