It's not always easy to separate emotion from work, but Nel's professionalism is top-notch. It'll be sad to face off against Fayt in the arena, but a mission is a mission. After all, it's not like things can't be sorted out later, and Fayt won't pull punches either. Now, considering both of them know each other's modus operandi rather well, unconventional strategies might be the order of the day for the Elicoor soldier. Entering the arena with her maid costume, possibly? Well, that certainly would cause Fayt enough embarassment for Nel to steal the match with a well-placed Mirror Slice - and her superior spellcasting and resources won't hurt in this fight, either.