The first female army personnel to be sent to the Falkland Islands were the Queen Alexandra's Royal Army Nursing Corps sailing on the 19 June 1982 from Southampton, reaching Port Stanley in the Falklands on 11 July 1982 - The Falklands War officially ended on the 14th of June 1982, so they were to late for the war.
They were deployed with 2 Field Hospital Aldershot, and 1000 troops, aboard the Turbine Electric Vessel (TEV) Rangatira. The 14 QAs were led by their Matron Major Margaret Nesbitt where they served at BMH King Edward VII Military Hospital Port Stanley.
TEV Rangatira spent the next 14 months as a floating barracks.
https://www.qaranc.co.uk/BMH-King-Ed...nd-Islands.php