Do you count the run?

[UMP25]

Here's one that's got some associates of mine all flustered (I haven't told them the answer yet):

PLAY: Two outs and a runner on third base when an improper batter is at bat (Frank is batting but Edward is supposed to bat). The batter walks on ball four, a pitch that happens to get away from the catcher. R3 on third trots home on the wild pitch. The defensive manager then comes out to appeal the batting out of order. The umpire grants the appeal, declaring out Edward for not batting in his proper slot, and removes Frank from first base, inning over. Here's the question: do you count R3's run?