Argyle King
Legend
It's hard to say from your original post, but I think you mean that the fighter is holding the doorway, not literally holding a door.
If he's holding a doorway, he's taking up the square to fight in. He needs that square to be an effective combatant and to block the orcs - the rogue cannot occupy the square and make an attack from it at the same time.
That said... D&D 5' squares are an abstraction, and one that doesn't really make sense for any situation that isn't "waving a greatsword about". The flipside is that a 5' doorway is also an abstraction, and the two things tend to cancel out. I can't honestly imagine effectively fighting past someone standing in a typical doorway even WITH a reach weapon.
I can imagine it with an appropriate weapon. Though, I'm admittedly extrapolating my experience with modern warfare and urban room-clearing techniques to apply to medieval weaponry which have vastly different considerations.