Everyone likes to be pursued, almost everyone enjoys a challenge.
Sounds like she's enjoying your spotlight.
Enjoy her as a friend, but remove her from your top priority.
One of two things will happen, you two will become good friends and you find a nice lady.
or
She will begin the chase for you. Where it goes from there is up to you
(just becasue this might happen does not make this the best base, to start a relationship)
>.<