Steve Jagielka fired wide twice as Stanley forced the early pace and Paul Mullin shot off target too.
Ian Selly headed over from a corner for the visitors before Jagielka struck a brilliant volley from 20 yards that flew narrowly over the Woking crossbar.
Raphael Nade went close for the Cards before Lee McEvilly and Ian Craney replied to no avail for Stanley.
Stanley can find themselves extremely unlucky after a fantastic second half display in which the Reds hit the crossbar after a goalmouth scramble.