I don't know your sitch. I am guessing you are a LBS and your W is a WAW who had an A.
If you have never had an A, I don't see a problem with being mysterious. I also think there is someplace that Michelle recommends a little jealousy.
The jealousy makes a WA rethink their position -- it a just a little shock to the system -- a tiny taste of the huge awakening that comes with the bomb.
But, don't fool yourself about what is going on with this woman you have been seeing. If there is any chance that it feels like a date on either side, I'd suggest you stop it. If you are playing host, buying meals and drinks, etc., then it is a date.