Moore played in all three of the Reds’ fixtures in the month, helping to secure important victories and clean sheets against Crystal Palace and London City Lionesses.
The fixture against the Lionesses also saw the New Zealand international score her first goal for the club after her summer arrival from MSV Duisburg in Germany.
Also nominated are Emily Roberts (Durham), Natasha Jane Flint (Leicester City) and Bianca Baptiste (Crystal Palace).
The winner will be selected by a combination of public votes on the FA website, which is open now, and an expert panel.