If you really have typed correctly and you are EII & IEI then that's quasi-identity and it is not compatible. You said you've just met her so saying that she feels compatible is maybe a little too soon.

But you can't let Socionics control every step you take. Just go for it if you feel like it. Socionics gives us information that goes far beyond what's normal or even healthy to know, even though it is very accurate. Everybody needs to try things and live to the full. And by trying things and failing you also learn Socionics.