Honestly you are either confused or you have made the decision and are apprehensive to follow through.
I can't tell from your post which it is. Do you know?
On the one hand you basically state you are 100 percent committed to never live with an alcoholic/recovering alcoholic again, period. Of course no alcoholic can guarantee anything, which is normal. So based on that you sound like you are ready to leave this relationship.
On the other hand you admire her progress so much and see many of the qualities you probably loved from the beginning.
You know, it's early days yet, you might just want to step back and let the cards fall where they may, see how you feel a few months from now.
If you do decide to wait a few months and see how it's going, I think it's imperative that you let her know where you are at, don't want to give her false hope. That's IF you know of course.
Also, her being totally immersed in her recovery at 3 months is as it should be and good for her. That's real progress. It probably won't always be like this.