Strange tournament setup, if it incentivises taking a fall against an opponent you don't think you can beat...<br />
Give it all you've got (or at least a decent attempt), it's the fair thing to do. What's the point of strategising your way through the tournament if you don't do it in the spirit of the competition?
What exactly do you gain by not trying? A few fewer bruises in your next bout? Also, given the way you described her, I can't help but think you might be letting yourself get distracted from the fight ;)