She's trying to hold it in because she's afraid the admiral would think less of her for showing a weak, pathetic side when she's been putting up a strong image all this time.
Stay... with me...You idiot.Everything will be alright, Shigure.Don't... don't hate me, Admiral...!Admiral...You just gotta pay attention the next time.Hmm?There's times like that, yeah.Like I'd hate you over something like this.Sure.Sure.Pat my back...