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She was still mad at me, so when I said hi to her at the party, she just nodded back insignificantly.

Is insignificantly the best word to use here? And is it placed correctly in the sentence?

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anonymousIs insignificantly the best word to use here?

It is not an obvious choice in the situation where someone is mad at you.

anonymousAnd is it placed correctly in the sentence?

Yes.

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anonymousIs "insignificantly" the best word to use here?

No. Try "apathetically" or "vacantly".

CJ