Head-scratcher Definition

hedskrachər

noun

A question, problem, etc. that puzzles.

Webster's New World

Wiktionary

A device used to scratch the head.

Her aunt's husband or her grandfather brings a head scratcher. "If the maid scratched her hair or body with her fingers during these days of observance, her hair would fall out."

Wiktionary

(idiomatic) A particularly puzzling or confusing event.

"A judge will decide what is the most logical, although I'm sure to some judges [freezing the body] will seem like science fiction and a wild scheme," McDonald said. "Other judges make think this is a good thing. It will be a head scratcher for the judge."

Wiktionary