Who/what/when + V + 不好 meaning "could V any time/thing/one"
什么时候出现不好，偏偏在这个时候出现
Why not show up some other time, but this very moment.
他(她)喜欢谁不好，偏偏喜欢一个不懂得尊重她的男人
Why doesn't she choose/like someone else, but a man who doesn't respect her.
Key words in this structure ...不好, 偏偏...:

什么 is NOT a question word, but means any (other), so does 谁 in the 2nd example.
不好 means why not.
偏偏 means unexpectedly.


First, this type of sentences indicates a contrast condition, so &quot;but&quot;, &quot;in contrast&quot;, &quot;unexpectedly&quot; or even &quot;ironically&quot; can be added afterwards (as long as it is grammarly correct, if this is what you are pursuing).
And imho, this is also a very emotional sentence or subjective expression with a tone of grumbling or judging others behind. And 不好 sounds more like a rhetorical question  , like 吃苹果不好吗，偏偏要梨， so the first example sometimes also goes like &quot;什么时候出现都好，偏偏在这个时候出现&quot;. Interesting?