As you can tell by the City of Heroes character avatars, this is a character concept I've had for quite a long while.
The Hana clan have been heroes for generations. Various members of their bloodline had been touted as valiant warriors or workers of magic at one time or another. In truth, they have a considerable legacy of psychic ability which they have honed in various ways. It is a well-established Legacy which Jin walked away from or at least tried to.
Hana Jin was never expected to be the one upon whom would fall the majority of the responsibility for taking up the mantle of the family legacy. She was second born and she knew it. Preferentially, the bulk of training was given to the first son in any case, most of whom were expected to go the way of the warrior. Daughters of the clan were expected to hone the more cerebral abilities of the family and seek out worthy matches in order to insure the continuance of the line or even the establishment of supporting branches.