The OP is not a future or projected substitution. Future or projected substitution are cases where a sub will replace a player who will still participate in some manner before the sub takes over.
The replacement of FLEX by DP is proper, can be done immediately after lineup is accepted or any other time. Per the rule cites by Tom & Mike, the DP player can not be replaced on defense until facing a batter.
Of course, that rule is meant to apply to the listed pitcher when she bats in the top of first (not subs after that), and if I were rules maker, maybe only if a CR is used.
I have a tangent, semi-hijack about this for later.
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Officiating takes more than OJT.
It's not our jobs to invent rulings to fit our personal idea of what should and should not be.
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