Midfielder Scott emerged from the subs' bench at the start of extra time and struck the winner against the Netherlands from a corner with four minutes left and penalties looming as England won 2-1.
Earlier Kelly Smith's second half opener had been equalised by Marlous Pieete.
Everton's Fara Williams captained the side in the absence of regular skipper Faye White and the starting XI also included fellow Blues Rachel Brown and Lindsay Johnson.
England face Norway or Germany in the final on Thursday.
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