Personally, I think this woman does like you, but maybe not in anything other than a platonic friendship.
I encourage you to keep talking to her, I could be wrong about a platonic relationship after all.
It can be very difficult when someone is very far away, therefore any relationship may be difficult to obtain and even harder to manage.
I also agree with Jo and PDM. Next time you see her, watch her movements. Especially her eyes. A woman's eyes will definitely dilate when they are attracted to you.
Also watch for hair twirling, her brushing up against you, her wanting to touch you, also her saying things like
"you're so "___" where "___" can be (funny, cute, etc...)
Good luck, hope everything goes well.
