As the majority of Witnesses, she probably exemplifies a gentle personality, and exhibits the quiet-and-kind demeanor that must be quite attracting for you. Don't fall for it, and if it's already too late and you've fallen, get over it.
If not, well... I'm married to a very loyal JW and she is the kindest and nicest person but... when she feels I'm rejecting the cult she can be quite the tigress. You'll learn about the dark side of the cult if your relationship ever develops to a serious "courting" and "dating" level.
If she does consent and dates you, she'll most likely feel guilty because she's going against what her cult says she should be doing.
If you really care about her and you can't stay away, then try to get her to see the cult for what it really is, a scamming corporate realestate grabbing religious company that sucks the life out of its followers.
Before you dive in head first and keep pestering her with your amorous attentions, read the book Crisis of Conscience to get a good idea of the JW reality behind the scenes (behind the curtain) it's a different kind of play back there and you won't like it.
best wishes to you
Op