Indeed - I don't see this as an issue. I appreciate that you had a shower, but how does the lady know this? She may have seen guys before who said this but were not clean, which must be pretty awful for the lady.
Why not have the shower anyway - how long does a shower take? And even better, why not ask her to join you?
Though we are not now that strength which in old days moved earth and heaven; that which we are, we are; one equal temper of heroic hearts, made weak by time and fate, but strong in will to strive, to seek, to find, and not to yield.