I met a dual a few months ago (I'm an IEI, she's an SLE). We were both physically attracted to each other at first. We hung out a few times and I felt really drawn towards. When I admitted I was interested, she asked if it was okay if we were just friends now, and seemed to lose romantic interested. However, she seems really interested in continuing to be friends and contacts me to get together for dinner or just say hello. If we go through long periods without talking, she will eventually reach out to me.
Should I hold out hope that our duality will magically make her romantically interested again if we remain friends, or should I just move on in search of other romantic partners?