Commander! Pets are forbidden!

Captaaaaain♥ 指揮官 is the 'commanding officer', which would take the title of 'Captain' when on board a navy vessel. It is not the same as Kancolle's 司令官, which is a more general 'commander'. 指揮 being direct commands, and 指令 being more indirect

I-It can't be... To have even given her my name!

You can't...!