What do you mean there is "no oxygen"? Of course there is. First, gasses mix readily and there is this wide-spread myth of a "c02 blanket". Once fermentation slows, and less c02 is produced, there is absolutely NO "co2 blanket". Plus, you opened the fermenter to put the dryhops in there. So it absolutely allowed oxygen/air ingress. Also, keep in mind that even airlocks allow oxygen ingress once fermentation slows.
So fermentation has slowed or stopped, and the fermenter is opened and something is added along with plenty of room air. That air doesn't disappear- and then the fermenter is shaken. If it was my beer, I'd be more cautious about oxidation especially with hoppy beers that more readily show oxidation effects.