May a woman be a mohelet?

Although women are not circumcised, they are members of the covenant that the Jewish people, have with God:

“You stand this day all of you before the Lord your God.. all the men of Israel, your little ones, your wives, and the stranger that is in your camp… that you enter into covenant with the Lord your God…” (Deut. 29:10-12).

Men, women, children; Jews by birth and Jews by choice, are all part of the brit. In other words, we must distinguish between the brit and the milah.  Women do not have a milah; they are most definitely part of the