how exactly does he not have time?
Danzo was such a beast and died due to S rank plot no jutsu
For one, Madara has the EMS/Rinnegan combo which means he has the strongest eyes alive right now. Now, I'mma use former history here.
Well, I was but I got bored.
Sasuke used 3T, and was able to reverse Oro's Dimensional Transfer Gen/Ninjutsu. Now, Sasuke then reversed Itachi's MS (I think) Genjutsu with 3T again. Now, you agree EMS/Rinne > 3T right? So, Madara should be able to intercept the genjutsu with his eyes, and either block, or even reverse the genjutsu back unto Danzo.
But to your question, Madara could simply not look at his eyes, and use his many jutsus.
And if you say that Damiyo never looked at Danzo's eyes, you would be lying. For when Damiyo addressed the Kages, he looked every single one dead in the eyes, and that is when Danzo sprung his Gen trap.