TOS also frequently had women who became infatuated with men and subsequently betrayed everybody...
...But themselves. In essence, these "frequent" cases (care to name a second one?) were downright Nietzschean in their unadulterated devotion to themselves. Surely the very definition of a "strong" character?
As has been said, the big example of a woman who betrayed the Enterprise is Marla McGivers. She deserved prison.
Lt. Carolyn Palamas went pretty far astray with Apollo and then came back to her senses just in time.
Yeoman Teresa Ross never waivered from her duty or her loyalty, despite the immense, macho sex appeal of General Trelane. Ross was a tower of strength.
And not bad looking, either.