Hurtful Words
Hurtful Speech, Sarcasm, Disagreeableness
You have a flavor of dislike. If someone gives you "flavor" and you dislike it, what might that "flavor" be? How about hurtful words.
いやみ
The reading for 味 is the on'yomi you learned with the kanji, but the reading for 嫌 is the kun'yomi, いや. Just imagine someone saying words so hurtful that you have to scream, "Iyaaaaa!" いや.
彼はちょっと頭が悪いよね。どうしてあれが嫌味だってことに気づかないのかしら。
He’s kind of an idiot, really. Why didn’t he realize that it was sarcastic?