They're of two minds as they approach the person who's proven most capable in this setting. The offered spread for trade is... desirable, certainly, and their backpack is slung over their shoulder- mostly empty, but there has to be something she'd be willing to accept for trade.

The other issue is their behavior on the raft. Edward has already proven inclined to forget it, but they haven't seen Lup since reaching shore; or at least, they haven't approached her.

Leaving things as is would be far too suspicious. Thus, Chara's greeting is to the point on their approach.

"If I could have a word, ma'am."

Really, this all would go much more smoothly if they'd gotten the correct elf.