What did Hide think Aang and On Ji were talking about?

In the episode 'The Headband', Book 3, Hide gets...upset...about Aang offering to دکھائیں his girlfriend, On Ji, something. What do آپ think he meant? Oh, and also, what did Hide (cont.) think Aang meant سے طرف کی 'movement'? Thnk you. :D