First of all my hat of to you for your kindness towards her. Thats rare. A thing that comes to mind is do you think she wants this? Your "help"? I guess you can always try but dont push it. Did you ask yourself what you are trying to achieve or prove for yourself by helping her?
Now, as for suggestions Id say, take it real easy and naturally. Go for a walk (always a pleasure in Australia), a drink, a movie, some food. You can do that lots of times. Check out what she likes to do, how she spends her time. Figure out if spending time together doesnt drain you or her too much. Ultimately you might want to try to talk her into counseling. Cant beat decent professional help.
Well, just a couple of things that came to mind. Goodluck.