I'm honestly unsure. It looks like a girl to me at first glance but the red coloring is pretty strong. I have a few BYMs mixed with a barred dual-purpose. One is a pullet (laying eggs) with hints of red on her wings and on her saddle unevenly, but very very light tints. Her main color is a muddy barring. Her neck is orange and barred. Her brother had more orange on him (not tint but some very few orange feathers on the wing) and had lightly grey-blue iridescent wing feathers with no barring. Your chicken's orange/red more looks like a tint like mine, but it's still throwing me off. Additionally, the faint rounding isn't round enough to say not cockerel? Also looks like the chicken has a feather cape around the neck. When challenging another chicken, does it look like a full feather wall or just puffed up? Just like humans, biological sex isn't binary, so take that in to consideration.
