as far as I can understand (correct me if I'm wrong):
The Admiral is asking about the ring in Taigei's hand. Then Taigei said that she removed the ring cause it might get in her way while doing work in the kitchen. It's precious so she doesn't want to let something happen to it.
That would be a shame so I took it off...Where's your ring, Taigei?Ah...Um...I was thinking it might get scratched if I wore it in the Kitchen...