As far as Lucy knew, 'Sheriff' meant the guy who knew everything. He was the one in charge as she saw it and, formal education or not, Gus was a smart guy. She turned a blind eye to any logic he argued and continued to believe that he could handle anything. It was juvenile, but she had faith in him; therefore, he could do anything from chart bullet trajectory to keep the streets of her city safe. Because she needed him to.
She jumped when the oven buzzed. Gods! She'd forgotten entirely, lost in conversation and in having a good time. Just like that Lou jumped up and ran to go check on the cake. She'd meant to keep a better eye on it than this, but she didn't smell anything burning - that was a good start.
"You got anything I could use to keep from burning myself on the pan?" She should have asked before. Lucy peeked inside the oven without waiting for his answer. Hey, it actually looked pretty good!