guys it's pretty obvious what Izumi is doing
she's trying to convince Fujishiro and Kurokawa that they don't have feelings for each other so that she can take Fujishiro for herself
Yep. Izumi is quite clearly planting the seeds of uncertainty to either make a move on Nanaki on the near future, or she secretly hates Kurokawa because, just like Kurokawa herself said, Nanaki and her aren't equal at all. I think the 2nd one is the least likely scenario since she stand up for Kurokawa in the past, but maybe things changed once she found out they both had feelings for each other.