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 প্রদর্শনী his girlfriend, On Ji, something. What do আপনি think he meant? Oh, and also, what did Hide (cont.) think Aang meant দ্বারা 'movement'? Thnk you. :D