The facilitator went to Genesis 1 and pointed out that God created man in his own image, male and female he created them - so gender is part of who we are in the image of God.
I would wholeheartedly agree and say one other thing - to ask if a "soul" has a gender is kind of like asking if your kidney has a gender. It doesn't entirely make sense. We, as humans, are not merely souls walking around in a physical shell of a body, but a unification of physical and spiritual parts. We won't be just a soul in the new heavens and new earth, we'll have bodies, and those bodies have gender. A soul is part of who we are, but isn't all of it.