Reasons Lana deserve a kill option:
1 -Rishi -proving she can't actually be trusted.
2- Lana only cared about you so she could use you as a puppet to lead the Alliance. You make it very clear that you didn't want to lead the Alliance and she didn't really care. Lana only cares about what Lana wants.
3- Constantly threatening to kill Theron after Umbara, even though you've told her you trust him. I'm sorry, but if you made it VERY clear that you trust your LI and someone KEEPS saying they want to kill him when you find him, my less than perfect LS character will kill them before they do.
Also, Theron NEVER betrayed your trust. Everything he did was to protect you and the Alliance. He even told you WHY he couldn't tell you, but he was dropping clues for you the entire time.