England's target was challenging, but they were in complete control of the chase.
After losing opener Sophia Dunkley, who was run out for a duck in the second over, the elegant Bouchier scored runs all around the wicket, achieving her highest T20 score. She shared a partnership of 92 with Tammy Beaumont, who made 37 runs from 34 balls.
Bouchier had hit a six and 11 fours when she attempted to clear the ropes again but unfortunately picked out long-on.
Later, skipper Heather Knight was run out for two by a direct hit from Kerr at mid-wicket. This led to panic in the England team, who were missing the experience of Sciver-Brunt and Wyatt.
Leg-spinner Kerr bowled Amy Jones as she swiped across the line, and Bess Heath, playing her fifth international, and Armitage followed.
Armitage was bowled off her pads by off-spinner Bates with the first ball of the match's final over.
England could have played smarter, but they also have a legitimate complaint that the final ball of the penultimate over was not given as a leg-side wide.
Without the extra run and additional delivery, Danielle Gibson, who ended up scoring 10 runs, lost the strike in the final over. As a result, Charlie Dean missed a reverse sweep with two balls to go and was stumped while attempting to hit a boundary off the last ball.