You need more basic info.
Estrogen is totally different from androgen.
It s not because there is too much or too little estrogen that no facial hair can grow, but because androgen functions like that but estrogen doesn't.

you are doctor in psychiatrics, it s quite different from other medical doctors, since other medical sciences are a little bit closer to biology.
no wonder you made some comments that i thought not appears to be from a biologist.