He can take a hint. He's said all he came to say anyway. So - of course - he doesn't put the gun away, but he does tip his hat.

'Be seein' you, lads. Behave yourselves.'

He doesn't dally on the way back to the hotel, but he does take a roundabout route in case they've got the wherewithal to try and follow him. It'll be easy enough for them to find out where he's staying; hell, the place isn't big enough to really lose anyone following anyway. But he does his best, ruminating all the time on whether he should make Kate leave tonight instead of staying a while. He doubts she'd go, though. Maybe.

First thing he does when he gets back is take that bath, scrubbing away the remnants of last night. Then he goes looking for her.