Not possible. Snipers must complete infantry school and have at least two years of fleet service before being selected for the scout/sniper program. I don't know about the Army but the Marines do not allow women to serve in "line" units meaning combat units. They do serve in air and support units but essentially infantry, artillery, and armor are not open to women marines. Pretty much everything else is.
I don't want to sound sexist here, but the WMs I served with were not very well respected. They did not pull their weight in training or day to day operations and most could not hack it in unit PT. Most of them finished the formation runs in the back of the trail vehicle with not a word said to them. And nearly every one had a mammoth chip on their shoulders. Not easy to deal with at all. That is not to cast aspersions on all WMs, but the ones I knew did not belong in the Corps.
WMs, lol.
I bet they all hated being called that, every one of them that I ever knew did at least.
All those things you said still hold true today for the most part even though I've had the privilege to serve with a few stellar ones, they were the exception not the rule.