How is that worse than sending children into battle?
Allow me to clarify: we're talking about Hitler's point of view here - not an objective one.
Besides, there are some other factors to consider, Hitler's personal chauvinism
* aside:
1) Women did work in factories before, during World War I, so this wasn't breaking taboo as much as sending women to fight and it did allow to free men from work in the factories and send them to the front. It also suited the belief (and the propaganda aimed at boosting zeal/morale) that men had to protect their families (wives and children).
2) It was legal for the Volkssturm to conscript people between 16 and 60, even though by our standards it means sending underage children to battle. Then again, there was a lot more of crazy stuff that was legal (and, as such, accepted) in the Third Reich, so this particular one is not really raising my eyebrow.
* I mean chauvinism both in the sense that women were supposed to multiply the superior German race (there were some talks about legalizing polygamy, if I am not mistaken, although not everyone would be allowed this privilege) and that men's role is to protect women, their wives/families in particular.
In late years of WW2 German women operated AA guns due to shortage of men.
Sure, Soviets did the same thing. If my memory serves, half of the AA guns in Stalingrad had women's crew. But I never heard about German women made into soldiers, while there are some examples of Soviet women in the army (and not all of them being in the support roles). Hell, in 1917 Russia created Women's Battalions. Even if we chalk it all up to propaganda purposes, this was still an important precedence. This does show the difference in approach between Germans and Russians.