Sorry I fell a bit behind.
Dudley - Advantage
There are very few characters in this game that I think Chun can successfully zone out. Dudley is one of them. He has pretty much no footsie game so this is an area where Chun dominates him. s.mp as always, but against him c.mp is wonderful - it ducks under his s.fp, stuffs his Ducks, and usually recovers quick enough to not get FA crumpled. This should be your go-to poke in this match. You can use s.fp, s.rh, and sweep against him but they risk getting FA crumpled so only use them sparingly.
You can Kikoken zone him a bit - outside of his Ducking range he has to deal with it, but inside of it he can Duck under and punish so be careful. If Dudley is using U1, forget you have the move. You may want to Kikoken sparingly even if he’s U2, as good Dudley’s will either short Duck under them to build Super meter, or FA absorb them to build Revenge meter. You don’t really want to give Duds the opportunity to build meter.
Dudley’s defense is ass - EX Jet Upper is good but requires meter, and requires three bars to make safe. You SHOULD take the fight to Dudley every now and then to help compliment your zoning game, and to force him to burn meter one way or another. Respect the EX Jet Upper and punish where appropriately. Aside from EX JU look for Dudley to backdash/Focus backdash, regular or EX Cross Counter, or in some rare cases Short Swing Blow. EX JU and backdash will be the most common.
Offensively you can run whatever you like against him - safejumps, fake safejump empty jump into low short/lk Hasan Shu, throw, c.hp x LL pressure, etc. Just don’t raw jump at him as s.mk is a pretty good AA, and with the right distance he can use EX Duck Upper which leads into a juggle state.
If Dudley gets in he can end the match in two to three good guesses. The good news is that much of his pressure is full-frontal and loses to EX SBK. Realize though that he knows you either want to get away or reversal him out. This is a match where you may want to fight your initial instinct to either run/reversal - block or wait to see what he does, then find a good place to get out. While he’s no Cody, Duds does have decent frame traps that lead to big damage so be very careful about trying to jab your way out of pressure.
Dudley’s jump-ins can be stopped with the usual air-to-air options, s.mk if you catch him early, sweep and c.hp for certain angles, and amazingly c.mp. c.mp is godlike in this match as it ducks under the Gentleman’s Elbow. There are some angles where his j.rh will beat EX SBK, but fortunately if he catches her in the airborne state he just gets the jump-in damage and knockdown. Which isn’t good, but still gives you a chance to get out of whatever pressure he’s planning next.
Do not get driven into the corner in this match. Chun has more than enough tools to drive him into the corner. Use her pokes, especially c.mp to stop his advances, smart use of Kikoken to drive him back, and stand your ground. Chun in the corner loses a lot of runaway options and must deal with Dudley’s deadly pressure. However the same applies for Dudley in the corner, as it’s difficult for him to deal with Chun’s offense and he has to take risks to get out.
It’s Chun’s match to lose but Dudley can end things in a heartbeat. Combine zoning with offensive bursts (hit and run offense) to take off his life and force him to make mistakes, both in defense and in trying to get to her. Be patient and fight him smartly and victory can be yours.
U1 will punish a blocked c.rh from Dudley, but for the most part I feel this is a U2 match.