Beth Shalom * Women in Halacha, טֻמְטוּם וְאַנְדְּרוֹגִינוּס

(2) Speak to the Israelite people, and say to them: When any of you presents an offering of cattle to ה': You shall choose your offering from the herd or from the flock. (4) You shall lay a hand upon the head of the burnt offering, that it may be acceptable in your behalf, in expiation for you.

2) ("Speak to the sons of Israel, etc.") — the sons of Israel perform semichah, and not the daughters of Israel. R. Yossi and R. Shimon say: Women (though not obligated to do so) may perform semichah. R. Yossi said: Abba Elazar once told me: We had a calf for the peace-offerings, and we took it out to the women's quarter, where the women placed their hands upon it — not because semichah obtains with women, but for their gratification

Behold, we say in the Yerushalmi, ‘Anyone who performs something in which he is not commanded is called a simpleton!’ That refers to a person who does something that is not commanded from the Torah at all, where it is as if he adds to the Torah. But someone who does the mitzvot of the Torah as enacted even though he was not commanded in them, like women or a non-Jew, receives reward for them, for all of her [the Torah’s] paths are paths of pleasantness.

...regarding the positive commandments which women are not required to fulfill, if they desire to fulfill them without reciting a blessing, they should not be prevented from doing so. A tumtum and an androgynous are obligated in all positive commandments because of the doubt [about their status]. Therefore, they fulfill [all these positive commandments] without reciting a blessing.

[A blessing is not recited over] all practices that are customs... e.g., reading Hallel on Rosh Chodesh and on the intermediate days of Pesach. Similarly whenever there is a question whether a practice requires a blessing or not, it should be performed without reciting a blessing. A person should always take care not to recite blessings that are not necessary, and should recite many blessings that are required.

Rabbeinu Tam infers that women recite berachot over positive time bound mitzvot even though they are completely exempt

There is no problem of reciting an unnecessary beracha and violating the prohibition against saying God’s name in vain, because that textual expounding is rabbinic [and the prohibition is not on a Torah level].

For it is not difficult, since men were commanded and women also receive a reward by doing the mitzva, they can well say “ve-tzivanu.” They are within the community of mitzva.

Rav Yitzchak Ha-levi ruled that we do not prevent women from reciting a beracha on lulav and sukka…. And since she fulfills a mitzva, it is impossible without a beracha.

Even though women and exempt, they are permitted to blow. So too, even after a man fulfilled his obligation, he is still able to blow for their obligation. However, [in these cases,] they should not make the blessing, nor should he make the blessing for them. RAMA: And [our] custom is that women make blessings on positive time-bound mitzvot, so here too they would make the blessing for themselves. However, others should not bless for them if they have already fulfilled their own obligation and are only blowing for the sake of women

...The Tumtum and Aandrogynous are obligated to wear a Talit as there is doubt and they should wear it without a blessing (Explanation: a tumtum does not know whether he/she is male/female, and an androgynous has both male and female genitals). Rema: And since it is our custom that women should say the blessing when they fulfill time-dependent commandments, so should they