I think that what you are doing is great.
If you really want to make her feel 'okay' in talking with you, try asking her for some of her stuff to read. Especially Awake articles that are not about religion and therefore not threatening. But, in her mind, they may help alleviate her own guilt and whatever she might have with other JWs because it's almost like she's preaching to you (a good thing by JW standards and a worthy excuse to talk with you and keep company with you).
A few things I think worthy to point out. You might want to mention that JWs seem to have very superficial relationships with each other. She knows this. (They HAVE TO - how can you have a REAL relationship with anyone when they feel it is their God-given DUTY to rat on you - even for THINKING - even for such universal things as DOUBT!)
Second, the WTS keeps so much hidden from its members. She might be shocked to learn that JWs have a very high incidence of mental illness, of suicide and also of homicide.
She might be initially shocked, but this will make some very deep sense to her when she takes a moment to think about it.
More information can be found by going to Google.com and looking for things by Dr. Jerry Bergman. He was raised a witness and is now a mult-degreed psychology professional and teacher who has written several books - including 'Jehovah's Witnesses and the Problem of Mental Illness' and a slew of papers.
If you can find his paper, "Why Jehovah's Witnesses have Mental Problems", I think you might find it very helpful.
The first page or so goes through all the history (take it or leave it) but the following pages delineate all the mental difficulties that are involved in being a JW - including the fact that the WTS doesn't really provide ANY connection or communion or relationship WITH GOD and no Godly guidance or interaction to help you get through everyday life.
Even the small things. Just non-stop WTS rules about everything.
My very best to you. From experience, I would also suggest that you pray a lot. And let the love of Christ shine THROUGH you.
Perhaps one day, when you're closer, you could ask her outright. Do you really think that God hates ME and thinks that I am a wicked, evil person?
God promises that he would not give a stone when someone who asks Him for bread. Would he do that to YOU?
Would God answer YOUR prayers with evil trickanery?
Best wishes.