Clint would, eventually, venture into the shower. Eventually. It wasn't a priority right then when he'd decided to be utterly lazy and do nothing for the period of time he was moping. It would likely last a few more days and he'd get back to it. Sometimes it just took a little lying around before he was ready though.
"Hmm," it probably wouldn't help but if princess positive wanted to bake in order to shake of guilt then, whatever. Everyone dealt with it differently. Clint was the exact same and most of the time it wasn't guilt he felt. "Is that why you're all frowny face randomly?" Clint didn't pry, not really. He was nosy and spied a little, but that was part of the job description and he wasn't going to shake that off any time soon.
But that didn't mean he'd just ignore that Loki wasn't quite his self again. And yeah, okay, dying was probably a big deal, being murdered likely a bigger deal. But being logically aware that someone wasn't their self didn't mean it automatically made everything better. "And you planning on framing the cake or eating it?"