A nice situation for Houki: To get her date (as far as she believes), she must win, but that means the ultimate psycho bitch will win as well. Well, she might not really be winning in any case as I doubt the German one can cooperate with anybody to any extent. We don't yet know if both members of the team need to be standing for them to win. If not, Laura might as well plan to sacrifice Houki to be able to fight alone.
I didn't really get the fight between Ichika and Laura in this ep, though. Wasn't Ichika's sword's main function to bypass any defences? If it stopped at the repel field yet still ate his own shield energy, it's a completely useless piece of junk. A huge weakness yet the strength that was supposed to compensate doesn't work... Some engineer somewhere needs to be fired.