She's so lacking in self-awareness as a woman that it's scary.

Literal

Woman [as-として] self-awareness lacking-too-much [and-て] scary.

女として自覚がなさ過ぎて 'lacking self-awareness as a woman too much' — なさ過ぎる is the excessive form of ない. 怖い 'scary' as a hyperbolic reaction. A blunt, critical observation — likely about someone's oblivious behavior.