Um, no. In point of fact, if Georgiou Prime had ignored Michael's advice and instead taken Saru's, T'Kuvma would not have been able to use the death of the Torchbearer or the Georgiou's use of the phrase "we come in peace" as propaganda to rally the rival Klingon Houses to his cause. It was, furthermore, Michael's idea to attempt to board the Ship of the Dead and capture T'Kuvma; had Georgiou Prime not listened to Michael's advice, she would likely have survived the battle with the rest of the crew. So, yes, Michael got her captain killed. If the character starts a war, as Michael did, then they are not a Mary Sue, because that is a profound failure. Michael was not unjustly blamed for starting the war -- her aggressive actions towards the Klingons, starting with killing the Torchbearer, directly feed into T'Kuvma's plan to go to war with the Federation. Are you talking about the tardigrade? That's just false. Michael's arc in S1 is one of redemption, not one of proving her superiority. You have, at best, severe problems comprehending the content of Star Trek: Discovery and a false understanding of a "textbook Mary Sue." A Mary Sue is not a female character who does things.