Well
I don't think the pattern is strictly female, but red patches usually indicate a boy. As to EE genetics... tins of misinformation is out there. First EEs can be Ameraucana crosses with another breed, but most folks will tell you what that mix is and why. EEs from hatcheries are often attacked by modern Ameraucana breeders as being mixes, mutts and crosses. Hatchery Ameraucana are specificly early early lines that Hatcheries purchased when the Ameraucana was in development so are protype birds and thus will not meet the SOP for Ameraucana that the original Breeders of the Ameraucana finally after a lot of problems got the APAs approval. You need to understand the Araucana was the issue with the APA, they wanted the Ameraucana more different than it's related sister breed, both breeds come out of the same pool of birds imported to the USA, some breeders wanted the lethal gene that creates tufts others just wanted the beards no lethal genes. The original name of the Ameraucana was even an issue... so Hatchery Ameraucanas of the EE type represent this early genetic pool and thus show a huge range of genetics, tails, no tails, beards, no beards, different colored earlobes, tufts once in a blue moon, and many different egg colors. I learned this from one of the founder Ameraucana breeders. There is no point however in telling modern breeders this as many have invested themselves into the idea that all EEs are crossbreeds. If you start at the beginning of all the EE threads on BYC you will discover the EEs are fairly consistent on patterns, colors, pea combs, willow legs, eye color, beards, and most carry the blue egg gene... it is rare to get pink eggs, or tailless birds. So if your bird is Hatchery you have a proto-Ameraucana in its unfinished form, if you have a backyard bred bird then yes it could have other breeds but it will be difficult to guess, usually best to just ask. There are some great projects in the Olive Egger groups involving crossings. Your bird looks like a standard hatchery line bird to me though.
Hope this helps