She isn't taking offense, no worries. Axel clearly has something going on that she isn't privy to, but it isn't really her business either - Urbosa will simply have to be more forthright about when she uses her abilities to spare his poor frayed nerves.

"Likewise." She accepts the handshake, inclining her head politely as she does.

"Sav'saaba." Urbosa corrects him (frankly his accent is almost endearing), enunciating more slowly than she would otherwise for Axel's benefit. The clear curiosity in his tone makes her smile widen a little. "It means 'good evening' in the Gerudo language, although you'd have different greeting phrases depending on the time of day."