Why do stories always got to have this type of antagonist. The girl don't have to be that class structured.
The author can easily make her a person that cares for ice mage and understand how good their magic mix together. But she just really sucks at communicating it.
I like how the MC doesn't bother to keep arguing with idiots. He might give a reply or two, but if it's obvious the other party is too stupid for a sensible conversation, he won't continue to waste his breath.