Iria: Zeiram the Animation

She's a bounty hunter with a score to settle.

Asuna Yuuki had never played online games until accidentally putting on the NerveGear for Sword Art Online, the world’s first VRMMORPG. She soon finds herself and other players trapped inside a game, where if a player dies in the game, they die in the real world. As she continues to live on in this world where death is always a step away, a solitary swordsman named Kirito appears before her.