I want to reach out. I want to know if this is what she really wants and to tell her it's not too late to work on things.
To me, reaching out may not be the best thing. If she hasn't shown any change in her feeling toward you, then I'm not sure that reaching out would be anything other than pursuing.
I made the mistake of reaching out and testing the water but it never worked. Not once. It just pushed her away even more as her mind was made up well before hand.
There are moments in this life when you are so confident in the rightness of your actions, that not even for a second do you consider the option that you might be wrong.