Yeah, a clarification on the rules seems necessary before we commit to anything. I doubt these are fights to the death given Quincy's interests, but the fact that these are supposedly fighters means this will be combat. And what's the rule on buffing our combatant before entering the ring, is that an option? Also, the potential issue with sending golems to scout is that we might not be able to fight the same opponent twice.
Their names could provide hints as to their personality and/or abilities, but they could also be ironic. For example, there's Mini, who might be named that because she's small, but might also be very large for comedic effect. It might be best just to pick ones we want to see if we can't make predictions. I for one want to see Candy (is she literally made of candy?), Queen (could either be a former queen who is now a slave or is a 'queen' as in dominatrix), and Feather (maybe a winged type, even an angel?).
We should also consider who our best solo fighters are. Lemiel is probably our most reliable given her strong physical and magical abilities plus healing. Cherchiel is an absolute powerhouse if we give her the right equipment loadout. Sally's mirror shield + gimp suit combo will make her a real nightmare to take down. Yulia and Talwa have the firepower to potentially atomize their opponents, but a bad matchup would lose them the match. Beck is unkillable, but her lacking mental faculties could be used against her. Isalia, Lri, and Maple all shine best in group battles, so I don't think we should send any of them out. Goma's fighting ability is rooted entirely in Puppet, if it doesn't work she's done. Dahlia's Fetish Call would probably be useful, it exploits fetishes and Quincy has probably given a few to the fighters he's trained, but I'm not 100% confident on how she'd do.
TLDR: We hear the rules first, but our best picks for fighters are probably Lemiel, Cherchiel, Sally, and Talwa, and there's not much we can do about picking out the right opponents.