The only mandatory classically sue-ish trait I can think of in Origins is the whole "being a newcomer but somehow being effortlessly made the star/leader of a movement, without even necessarily wanting it" part, which is pretty common in sue fics. I think Origins even realized this and kinda lampshaded it with a Morrigan-Alistair dialogue early on... But anyway, this does appear to be repeating itself with the Inquisitor again, but the rest of it will depend on how you role play them *shrug*
And don't forget the part where the Warden magically solves all the major problems of Fereldan by her/himslef although everyone else failed miserably.
Examples:
A pride demon has taken over the circle tower. A demon that is supposedly capable of turning entire cities to ashes. And the templars there are pretty much powerless against it, until the warden and her/his army of three random people, s/he recruited off the street, come and slay said demon after killing hudred lesser demons before. Seriously?
Dwarf king is dead and the nobles can't decide on a new one? Don't worry for I, the Warden, a convicted criminal that was cast out from Orzammar/ random stranger from the surface that hasn't even set foot into Orzammar before, shall solve all your problems, although I have no idea why you guys should even listen to me in the first place.
The ashes of Andraste, believed to be merely a myth, shrouded by mystery and it's existance kept secret by the cultists for centuries. The Warden finds it in like a week after s/he starts looking for it.
And you can't fail in any of these missions. You always solve all the problems no other being could have solved, because... I don't know.... you are special.. I guess.
That being said that is basically the norm in almost every videogame ever and doesn't mean the game is bad. DAO was still extremely awesome, but that doesn't invalidate the fact that the Warden is quite Sueish.