Busy
If you annoy someone who's busy they're still going to be busy. You annoying them can't change them. Though now they're probably busy AND annoyed.
はんぼう
This is a jukugo word that uses the on'yomi readings of the kanji. You should be able to read this on your own.
日々の煩忙から逃れ、ハワイにやって来ました。
I escaped from my busy daily life and came to Hawaii.