From your description, the "hard step" back toward first then the change of direction happened before the pitcher raised the ball to make a play.
The play is dead and the runner is out the instant she changed direction. Sounds like a good call to me.
Just a side note, the runner on third was subject to the look back rule when the BR hits first base. If there is a two or three (wo)man crew working, make sure that someone is watching R1.
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