So she is now texting me trying to be cordial at times and takes any repsonse as an attack. She then texts me " I am going to take a nap in your bed" test, reaction none. No reply what so ever

I did tell her she dwells too much on the past, holds a grudge all the time and can't just let go(said this last night)

I did forget to mention when I did hold her and kiss her forhead she didn't pull away, rob but she did just start balling like a baby.

I feel the detaching shows her I can move on, but at the same time does it go against wanting to fight for her? (Something she obviously feels I don't do enough of?