Pilot is wise. Your W's feelings may be clear to her, but it doesn't seem as though they are clear to you. It seems to me like your W is testing the waters, but there should be a mutual exchange of information, not a one-sided reveal.
I like the idea of sharing a little bit (e.g., saying that you're not seeing someone) and then offering to listen. Would she be open to an in-person meeting or phone call? I'm sorry I don't know the particulars of your sitch and if that's even possible.
