If you do not trust her right now, then you don’t trust her. Full stop. No amount of password sharing (which *is* incredibly controlling, yes) will alter that—only time and action will earn her your trust. It can’t be forced.
Moreover, if she is embracing recovery, she will understand that the loss of trust is a result of her choices. She will be patient and understand that your relationship, if it is to survive, may unfold on a different timeline than before.
If she is pushing too far, too fast, then she isn’t ready for a mature and healthy relationship. She just wants to avoid doing the work that it will take to earn one.