Is she playing me or does it seem genuine?

She’s my first experience with a woman and I fell for insanely quick (typical, lol) we’ve been on and off for 5 months now. I have never been so broken in my life without her. I’ve never had a breakup this hard and it’s miserable when we are not in contact. She says she feels the same.

She is leaving to take a job in another state and is in a career where she can’t necessarily settle down depending on what route she takes. She wants something here that doesn’t require commitment because she’s leaving and I can’t emotionally handle that. We’ve established that we want different things. We’ve gone back and forth over a few weeks being frustrated at each other in our differences but at the end of the day, it just won’t work. I don’t want a slice, I want the whole damn pie. I love her. She won’t say it back though but her actions show differently. Her demeanor just like that.

Last night, we sat down and talked through what we’ve been through and how we are feeling and how those differences affect us in a together scenario and she nonchalantly brings up that after her training and is settled, that I move with her. I ask what that meant and she said she’d love it more than anything but it’s not realistic I’m just so lost as to what that means. I can’t tell if she’s breadcrumming or if she genuinely wants something with me that she just can’t give. I know it’s not a ton of info and you all are strangers but I don’t feel comfortable asking people I know who are biased on wither side.