Női tóraolvasás

§ The Sages taught in a Tosefta (Megilla 3:11): All people count toward the quorum of seven readers, even a minor and even a woman. However, the Sages said that a woman should not read the Torah, out of respect for the congregation.

A woman should not read the Torah publicly, as a token of respect for the community. A minor who knows how to read and is aware of the One who is being blessed may be counted as one of the required number [of people called to the Torah].
Similarly, the one who recites the haftarah is counted as one of the required number [of people called to the Torah], because he also reads from the Torah. [However,] if the leader of the congregation interrupted [by reciting] Kaddish between the conclusion of the Torah reading and the reading of the person who recites the haftarah, [the latter] is not included as one of the required number [of people called to the Torah].
If there is only one person in the community who knows how to read [from the Torah], he should be called to the Torah, read, descend [from the platform], return and read again a second and a third time until he completes the number of aliyot designated for that day.

3. All count towards the seven who are called up, even a woman and a child who knows who we bless, but the Sages said: A woman shall not read [the Torah] in public, out of concern for the honor of the community. RAMA: And these specifically may be include in those who read, but they may not be all women or children (who are listening) (Ra"n and Riva"sh). And a Canaanite slave is treated as a woman, but if his mother is Jewish he may go up [to read the Torah] (Hagahot Maimoniyot, Prayer and the Priestly Blessing, ch. 12). And it is prohibited to read with one's head uncovered. And there is no prohibition to call up a respected ignoramus, who is rich and powerful, before learned men; for it is not disrespectful to the learned men, rather an honor to the Torah which is honored by great men (Ohr Zaru'a). And a mamzer may go up to [read from] the Torah (Mahar"a of Prague). And see above, Siman 136, for the order of those who are called up.

...