What does the cryptic crossword clue "Woman more cagey, having had the edges knocked off (5)" mean?

The definition is "Woman". The wordplay uses a deletion. ANNIE (deletion) + (deletion) = ANNIE; definition: "Woman" The answer is ANNIE.

Woman more cagey, having had the edges knocked off (5)

Guardian Cryptic #29537 | 13 Across | 2024-11-11 flower