Not always. Robin had red on her wings, Strawberry shortcake is mostly white with red "splashes" on her wings and back, smokey ha red across her back and wings. all three lay eggs.How old is it? Usually red wing patches mean boy but those are low, not the shoulders. I had a girl that looked just like her. It sort of depends on age though, given how red the comb is looking right now.
So as one poster so eloquently stated, coloring on an EE is a crap shoot, and none of the color=sex rules have held true in my experience so far as Easter Eggers are concerned (unless possibly you know one of the parents are a sex-link breed??) Remember, they are not a true breed with consistent genetic traits, but a mixture of whatever was available at the moment. You're best bet are the sexing characteristics that are true for ALL chickens; Comb color, saddle feathers and so on.
It's Like all the pigment got put on the end!

