The Manchester United Women striker scored the only goal of the game away to Tottenham Hotspur and hit a double in a 3-1 victory against Crystal Palace in the WSL.
Teri has made a real impact since arriving from Brighton & Hove Albion and she also won the club award for the same period.
Despite competition for the trophy, including the presence of team-mate Jayde Riviere on the shortlist, the Norway international came out on top.
The others in the frame were Mariona Caldentey and Frida Maanum (both Arsenal), Mary Fowler (Manchester City) and Kelly Gago (Everton).