IPA: /ɪnˌsɪn.juˈeɪ.ʃən/
KK: /ɪnˌsɪn.juˈeɪ.ʃən/
A suggestion or hint that is often indirect and can be negative or derogatory.
Her insinuation about his honesty made everyone uncomfortable.
Insinuation is formed from "in-" (meaning into) and "sinuare" (meaning to curve or bend). The word describes the act of subtly introducing an idea or suggestion, often in a indirect or sly manner, as if bending into a conversation.
Think of 'bending' ('sinuare') an idea 'into' ('in-') a conversation — that's how insinuation means to subtly introduce a suggestion.