That's because if her, or anyone, did the logical or reasonable thing, the game's plot wouldn't exist and it would have ended long ago, whether with her as Inoda's sex toy or with Inoda getting busted and expelled from school at best and detained at worst, so yeah. One key thing of NTR settings is that nobody can do the reasonable thing ever, common sense becomes null, stupidity runs rampant, and authorities are nonexistent or completely useless, otherwise 99% of NTR stories couldn't happen or even start in the first place
Like, if this situations was a bit more 'realistic' (And we ignored the lack of realism that would allow Inoda getting anywhere in the first place), Asuna and Kirito should have broken up and moved on already after all the 'shit' the plot had kept throwing at their relationship XP Hell, it wouldn't surprise me if Kirito confessing on "cheating" before Asuna did and that made her mad enough, the hypocrite, to go fuck Inoda IRL, like someone mentioned XD