The White Ferns looked intent on setting a platform early in their effort, reaching 29/1 at the end of the powerplay, with Kerr and Suzie Bates surviving a testing spell against the Australian attack.
But the innings turned on the wicket of Kerr (29 from 31), who looked to take on Schutt to up the scoring rate and miscued a catch straight to Sutherland.
And the wickets tumbled from thereon in.
Georgia Wareham got in on the act, accounting for Brooke Halliday (2), before Sutherland took centre stage, putting herself on a hat-trick as she cleaned up Maddy Green (1) and then had Isabella Gaze (0) trapped in front next ball.
The hat-trick wasn’t to be, but Sutherland bagged her third wicket when she cleaned up Rosemary Mair, finishing with figures of 3/21.
And Schutt returned to finish the match off, bagging her third wicket to wrap up a statement win for her team.