The offer gets a somewhat suspicious look, but honestly? Glenn doesn't think he's particularly, well, interesting in regards to carnal pleasures. Especially considering that he doesn't want to get undressed where people can see.

"...As if I'd leave someone to hang if I could change it."

But-- he does start to head upstairs. A proper wash up is too tempting and... he's starting to feel warmer. Uncomfortable.

"I'll be borrowing the shower."