Ah yes, time for the author to insert one of his kinks, “Daddy Play” where one person pretends to be another persons father.
Besides that, why is Itami so reluctant to go after the flame dragon? It’s not a threat whatsoever. A single rocket took out the entirety of one of its arms. A rocket to the chest or Head would take it out instantly. No need to ponder for so long whether or not you should do it.