Both Uses of

coquette
in
The Awakening, by Kate Chopin

Madame coquetted with him in the most captivating and naive manner, with eyes, gestures, and a profusion of compliments, till the Colonel's old head felt thirty years younger on his padded shoulders.†
Chpt 23 *

She herself was almost devoid of coquetry.†
Chpt 23

coquetry = casual playfulness that arouses sexual interest

Definitions:

(1) (coquette)
a woman who is casually playful in a way that arouses sexual interest of men but does not imply serious flirtation
Coquette is a French word that is similar to the word flirt. There are two primary differences:
1. Coquette only refers to a woman whereas flirt can refer to either sex.
2. To say someone is coquettish implies that she is just being playful and does not intend sexual relations with the man with whom she is interacting; whereas when a woman is described as flirting, the word does not indicate whether she is just being playful or she wants to instigate sexual relations.
(2) (meaning too rare to warrant focus)
meaning too rare to warrant focus:

Much more rarely, coquette can refer to a species of bird or to a city name.