This is the 1757th most frequent Russian word.
женщине
"Женщине" means "to/for the woman" (dative case of "женщина").
Here, 'женщине' is in the dative case, used to indicate the indirect object, showing to whom the flowers are directed or intended.
Я купил цветы для женщины.
I bought flowers for the woman.
'Женщине' is in the dative case, utilized to specify the recipient of the action of giving the book.
Он отдал книгу женщине.
He gave the book to the woman.
In this sentence, 'женщине' again is in the dative case, used in a syntactic construction to express whom the directive to help is referring to.