I’d love to stay here and hear his whole speech, but unfortunately I have to go.
The kanji means pay respects but the verb is to ask or to inquire. Basically this is a slightly polite way to ask about something. It's still pretty neutral feeling though, so it's not super duper polite.
Excuse me, I'd like to inquire about you, kaga (うかが). You're asking questions about Chairman Kaga, the ruler over the Iron Chef kingdom.