General Antonyms:
* Modesty
* Simplicity
* Plainness
* Seriousness
* Humility
* Sincerity
* Directness
Antonyms focusing on the lack of flirtation:
* Chastity
* Prudence
* Reservedness
* Unattractiveness (though this is more about the result of coquetry than the act itself)
Antonyms focusing on the lack of manipulative behavior:
* Honesty
* Authenticity
* Openness
* Directness
The best antonym will depend on the context of your writing.