Maya actually seems to blame herself for those tragedies:
Not Ami, so I can see why she wouldn't hold it against her. If I lit a tree on fire on accident, and the fire burns down a forest, I wouldn't blame the fire.
Maya also seems to just hate Noriko irrationally:
Or at least in a way she struggles to explain. My best guess is it is a mix of jealousy and fear that is conflicting with her own arrogance that refuses to accept it.
Noriko likely reminds Sensei not only of Niki, his second love, but also Sekai, his first:
And Noriko more or less embodies Sensei's past to Maya, which Maya wants him to have nothing to do with:
So, Noriko could have been seen as not only a threat to Sensei's heart, but also a threat to his mind, even before the resets. At least in Maya's eyes.
To be honest though, Noriko's only crime is existing apparently. Or I guess falling in love with Sensei.