Battle of the red-jacketed cartoon detectives! About time a proper match was made for these two. I mean, we've had a Rumble, and they just missed facing off in a Fantasy Draft.
Good set-up, broadway, though Xanatos seems a little more sinister than usual here. I'm not real familiar with Yin because I never watched much of The Batman (Ninja Joker, Kung-Fu Penguin, etc. turned me off of it early), but a clip I saw once shows she might be a decent fighter. I'm a lot more familiar with the Gargoyles characters, and Elisa's smarts and fighting skills are no joke, either.
As for the match, this could be a tough one. I can't speak for Ellen's detective skills, but may have more experience dealing with Batman villains. I know Elisa's a very good detective, and she would likely do better in combat against this crew since she's used to going toe-to-toe with gargoyles, New Olympians, and the like and holding her own.