Perhaps you would not want to give her mixed messages (one minuted interested, the next "stop communicating with her") That may be something causing the ambiguity on her end.
As far as her being hurt from a past relationships with men, that is something she needs to work on. There is nothing really that you should be doing going out of your way. Everyone heals on their own terms.
What do you mean she is not ready to commit? Do you not consider yourself dating as a couple?