Nobody's "inner voices" makes anyone a man or a woman. "Inner voices" don't determine anything.
Okay. A part of truth in its different application aside from your version of the correspondence theory of truth, is truth in regards to logical deduction.
So here is a premise I assume to be true: I have XY chromosomes.
Conclusion: Therefore I am a man.
Now since you are well versed in truth, you know how come the conclusion is not valid and thus not true in that sense.
So you need another premise:
1: I have XY chromosomes.
2: To have XY chromosomes is to be a man.
C: Therefore I am a man.
Now you just have to show how premise 2 is sound(true in that sense) and you have shown it with truth. Can you do that?