Ahmedhodzic was given captain duties in the absence of John Egan and Chris Basham but did not wear the rainbow armband, opting for the standard one instead.
In the seven years since the rainbow armband was introduced this is the first time a player has opted not to wear it.
Sheffield United had to twice come from behind at Rugby Borough before progressing after extra-time in the Adobe Women's FA Cup 3rd Round.
Jamie Redknapp believes it would be a 'footballing miracle' for one of Luton, Burnley or Sheffield United to survive in the Premier League this season.