Chicken we eat -- Male or Female?

As an aside, when I was buying our pheasant for Christmas, I was told that hens are better (tastier? more tender? plumper?) than cocks. I discovered that they are only sold in braces - one of each.

“Macerated” is the actual word.

Is that so? My impression is that “Huhn” is the gender-neutral term for the animal as such, comprising both males and females; the term which specifically denotes a female is “Henne”. That’s at least my understanding, but I am neither an ornithologist nor a chicken farmer nor a linguist.