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, he is capable of opening a gate.
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, what she was punching was a shadow clone, not the real Madara. Intentionally tricking an opponent with a Bunshin does not indicate inability to react, which unfortunately the majority of individuals debating on Tsunade's behalf fail to realize or simply choose to ignore.
You are turning Madara not choosing to resort to Genjutsu as some sort of indication that Tsunade is capable of avoiding it. Madara was in full control of that battle, taking the leisure of posing on rocks and using insane techniques on a whim. The fact he used Genjutsu on the Raikage does not prove he was actively trying to Genjutsu the other Kages throughout the entire match, as shown when Gaara and Onoki both stared directly into his eyes without being captured in an illusion.
Avoiding Sharingan Genjutsu demands insane sensing abilities like Kabuto's or requires a unique fighting style like Gai's - Tsunade lacks both. Thus, you cannot reach the conclusion that Tsunade is capable of avoiding Sharingan Genjutsu. Scanning over your posts, you have zero evidence supporting Tsunade's Genjutsu immunity, barring "because magic."