We talked some more and I realized that by asking for the truth, I am pushing her away b/c she thinks that is controlling of me.
. . .
I don't believe her but I think my tactic of pushing for the truth won't work. I need to show her that I am not controlling.
Who told you to "push for the truth?" In fact I'm pretty sure I specifically said NOT to. Only to end the convo and walk away if she lied to you.
This!!!!
Just tell her that if she can not be honest with you, you can not talk to her. Then walk away. Of course she is going to say that whatever you do is controlling her, it is the only way she can justify her actions to herself.