Naaaaah! Who needs modesty when you've been traveling with a cat-beast who's pretty much mostly naked all the time, anyway?
That said... Hubba Hubba! 
Now, in all seriousness, there's really not much Ch'dau can do about tending his own wounds, I don't believe... Not a whole lot of fabric to make bandages with in his gear, so it's probably gonna be more of a "lick your wounds" situation for him.