My guess is that this is concerning how to counter forward shield bash? You didn't bother to give any details.
For that, your best bet is to go for a shove after a side dodge. Now obviously, Conqueror can get out of the pseudo 50/50 between a light and guard break a lot easier than most classes, however Conqueror does still have a limited window to do that dodge to block the light in time. So go for a feigned heavy instead of a light, the Conqueror will most likely dodge thinking it is a light and go for a shield bash, when you see the side dodge, dodge backwards.
A side dodge shield bash has a lower range and takes longer to start than a forward bash, thus the conqueror will whiff the shield bash in front of you and will be able to branch into a guard break at 800ms while Conqueror is still in the miss recovery.
Alternatively, if the Conqueror only does a side dodge, they will be too far away to catch you with a guard break since you both dodged in different directions. If Conqueror tends to only do side dodges without a shield bash, then you simply wait after the feigned heavy and guard break the dodge.
You can get a top light instead of going for a backwards dodge after the heavy feign, it'll hit before the side shield bash can.