Lelia, a vampire warrior, is forced to leave home to end an ongoing war between the human kingdoms before her own kind decide to end it their way. [v2.0] [TV] [Fantasy]

This is better, I can now visualize the war.

The next step would be telling us why stopping the war between humans is important to her.

Because she is a vampire but she is trying to save humanity, it would be good to at least hint at why.

Is she in love with a human? Or perhaps raised by humans? (Again I wouldn't say more than a word or two if possible)

(One minor point, you don't need to give the lead character's proper name, saying she is a vampire warrior is strong enough)

This is definitely a step forward.