After getting up from feign death there is a delay before you are able to autoshot or melee swing. The delay seems to be equal to the attack speed of the weapon you are shooting/swinging with. Because of this, a three second delay is quite normal before you can attack again after a feign as hunters currently favor slow ranged weapons and two-handers.
Currently I’ve been training myself to not use feign unless aimed shot is off cooldown to bypass the problem but it’s obviously impractical if I am pulling aggro with aimed shot or engaging in melee.