Not being the ASA person on this board, but apparently the only one up early on a Sunday morning, I will tell you my understanding: if the batter could not complete her turn and there were no legal (i.e. same gender) substitutes available, then she would be ruled out.
Being that some of your other answers mentioned a batter "regardless of team", I can only presume this is a social/fun league where your local league might have special local rules.
(I know, I know, "Who says they all aren't social/fun leagues?")
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Dan
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