I'm only a Captain, but Kondo-sensei is the Commander and Ito-sensei is Councilor so they are the ones who can convince Lord Katamori-sama to talk to the Shogun. And Hijikata-san being the Vice-Commander will decide what is best for the Shinsengumi.

[ Watching her sip the hot tea without cooling it first makes him stare in worry, his mug still untouched. Then he frowns. ]

Is there a particular reason why?