EDIT: Honour doesn't have lick of rhyme or reason, and I think Bridgett's name would carry weight in this situation. She isn't just some average smuck with a stick; she has a name behind her that carries a reputation of "I'm unbeatable 1v1".
I guess you'll just have to wait and see, eh?
Honestly, the question here, should it actually work, is more along the lines of, "Are you confident enough in winning that you're willing to wager something important?"
Done in by the dubious doings of destiny.
But Gareth is like this universe's Gohan. He has so much potential, is the son of one of the greatest fighters alive, but then squandered it because he wants to be a scholar.