Quantity is irrelevant when taking a human life. Otherwise, if ten guys were about to kill a baby, how could you justify killing them all to save it? Ten lives next to one? It is the situation that determines if it is murder or not.

And why would he think that? Because he is the Dragon Reborn and is trying to fight for all of humanity against the Dark One. The right to kill recalcitrant or disobediant soldiers has long been a morally accepted position for superior officers. Some armies in particular might choose to limit this prerogative, but that is simply a matter of institutional preference. Even if we stipulate that Rand's motives might not be the purest, the situation is perfectly justified.

I think he was warning her, not threatening her. She was interfering in his chain of command, took it upon herself to take over certain issues and failed in her responsibility. He did not kill her on the spot, but he did forbid her on pain of death from interfering with her anymore. Aes Sedai play all sorts of word games, and thanks the Three Oaths, have forfeited any trust, so it made it simple.

So you admit that the most evil thing he did, was only something he ALMOST did? In other words, he didn't actually DO this thing? I rest my case!

Highly suspicious circumstances, no? He knows she's trying to screw with his head and it is unwelcome. She has no right to do it. He had a legitimate cause for suspicion when Tam admitted that he was brought in by someone Rand sees as an enemy, who was coaching him on what to say.

INVASION. What the hell is giving you a mental block here? They made themselves liable to death by setting foot on the shore. Or do you want him to get more of his people killed fighting them off? And how many more chances is he supposed to give them after they rejected his peace overtures?

They destroyed multiple AoL cities (millions of people) before reaching that point last time.