[Oh they're really just diving right in, huh. If Matsui notices the woman's lingering stare, it doesn't show - granted, that doesn't say much for him. It's probably at least partially because he spends a few seconds glancing around the bathhouse itself, taking in the location's details less for the sake of interest and more as a reflex. Always gotta be on your toes in new settings...

Still, he'll take a step forward once the cue is given, dipping his head into a little bow of greeting.]

Good day. I have gone through an unpleasant birth into this new world and would like to clean myself up a bit, but I don't yet have any lodging or currency. If you're amenable to a trade, I would be glad to listen to your faction's reason for supporting this side in exchange for access to bathwater. Even just a few minutes would be fine.

[Well. At least he's to the point...]