Naga had her tongue out, and if she weren't in public, she might have rolled over for a belly rub. But Naga is a classy bitch, and wouldn't show that much private area without either approval from Korra or being somewhere more appropriate than out on the street.
"No problem," Korra laughed. "Nice to meet you, John. What do you do?" Straight to the point -- a Korra trademark.