Did she not say something to the effect that she didn't know if he was the right one, but if it not that she might consider dating? I can't remember exact words, but I thought you told us. If I'm wrong, I apologize.
I'm glad you told her about giving you time to think about what you want. See how surprised she was? She is taking you for granted that you will stay near by......as her plan B.
I will warn you about something. Don't get into her accusing you of seeing someone else, or whatever she said was why you didn't answer her email. That is the same as putting pressure on you to make sure you prove to her you are always there for her! Never make any promises, never swear you won't see someone or do anything you choose to do! I don't know the tone she used, but she was fishing again.
Leave her wondering! You don't have to give an account. You have not been the one unfaithful.
So, did you ask her not to contact you so "you" could have space to sort things out?
It is not about what you feel should work in your M. It is about doing the work that gets the right results. Do what works!