Don't fight the emotions or try to suppress them. It won't work or speed anything up. You need to feel it and accept them then move forward from them. Don't let the emotions control you, just acknowledge them then move on. It takes time.
And normal is a subjective term. You're in the process of figuring out what your new normal is. With that there will be emotions, growing, looking at your life, etc... Again, I know how you feel about wanting things to go back to the comfortable (normal) that you knew but that isn't where you are right now. As you continue on your journey you might just start enjoying your new "normal".
Her signing with "me"...you're right you shouldn't give this any thought. I think you're mind reading or trying to put something to what is likely nothing at all. Who cares? It shouldn't affect anything you are doing right. Need to stop analyzing everything she does, even with the extremely limited contact. Start being you and concentrating on you and the things you're doing.
So...what are YOU doing?
Personality is who the world sees, character is who you are