He had flung a leg of lamb at some indelicate disturbing tutor.
the trait of being indelicate and offensive.
She bridled at the indelicate suggestion.
She really could not touch upon such an indelicate subject.
Human trafficking tends to get ignored because it is an indelicate, sordid topic, with troubled victims who don't make great poster children for family values.
At best, changing your status is an indelicate way to inform friends about a delicate matter.