[quote=Drakel]
I just have a little problem with this character but overall she will be easily accepted depending on your answer lol. Before I accept I'll need to ask a simple question. How does her immortality work? Is it like a classic "I live forever" type deal but if she is killed she dies or is it more like how Deathstroke and wolverine are immortal and can basically take swords through them, get decapitated and other such....??
[/quote]

Deathstroke isn't immortal. As long as his brain was intact was his limitation and that was Pre-New 52. Now it's just accelerated healing from non fatal injuries. He's still injured, it just takes less time to heal.