Alrighty, let's hold on everyone and try to sort this one out a bit.
<Snipped quote by Dymian>
While I do understand where you're coming from, I think honestly Deon would win this fight. I was looking over both Character Sheets and Elizabeth's doesn't mention anything on fighting experience - at least in hand-to-hand. Now, if it were an accuracy contest or something like that, I could see her pulling an advantage as the sheet mentions her learning to use firearms while Deon's doesn't. However, Deon's been fighting in the Spit for an extended amount of time, is currently the top-tier fighter in the cage matches and has been regularly using Hand of the Devil for just about a year (if my math is correct - which it usually isn't :P). Under those circumstances, I don't see how he couldn't beat her. Could she land a couple punches in? Of course, the guy's not super fast or anything, and no one's trying to weaken yours, or Yoshi's character in any way. It's just pitting two specific characters together and figuring out a solution by going over their individual skills and experiences.
Deon's CS doesn't mention Hand of the Devil usage. And if it does, Elizabeth's CS also mentions she uses it to kill some of her targets, meaning she is used to dealing with those under its influence.
Next, Deon's CS mentions no formal training and labels him as undefeated, meaning out from the gate, he had the skillset he does now. Meanwhile, Elizabeth is a trained hitman, and while I make no direct mention of fighting skills, I also didn't for firearm usage, so your assumption on my superior accuracy would be incorrect.
Finally, I in person am a 134 lb. skinny male, who has had the experience of pinning a 212 lb Male based not on skills or strength but logical application of force and his own self confidence.
What I am getting at is, if we continue the fight, I believe that it would be more based off of roleplayer ability than character. They are actually quite equal. No Elizabeth cannot land the blows, and is at a disadvantage in the cage. However, this scenario also opens up with her getting likely first hits and Deon worn down, if by a miniscule, in the fight not minutes ago, where he took hits.