Dx stands for "diagnosis" and dx'd is "diagnosed"
It makes sense that you are taking small steps in this relationship, especially as you are still trying to get to know the basics of each other.
All I can still add is to caution you from getting hurt.
I messed up my relationship before I was dx'd, and after a break-up of 6 months, I'm lucky that I got a second chance.
Most of us here have had to learn a lot in order to be in a successful relationship, as we need to take the responsibility for our actions. We need to understand ourselves first and really find the right partner that can put up with our condition.
I think your girlfriend may still be finding herself.