Rabbi Michael Broyde discusses this issue and Jewish law.
Joseph Kaplan comments on Hirhurim: As always. R. Broyde’s clear and rigorous analysis is extremely helpful, certainly to me, in thinking through important issues, and we should be grateful to him for allowing Gil to share this analysis with us.
One question that I have about his analysis [...]

Rabbi Gil Student writes in First Things:
Women never served as ritual slaughterers, for example, although an actual prohibition was rejected in the Medieval legal literature. Nonetheless, when the question arose of whether a woman could, in actual practice, be a slaughterer of animals, the answer given by authoritative Ashkenazic scholars was no. Analogously, even if [...]

In his second class on Rabbi Ben Zion Uziel for Torah in Motion, Dr. Marc B. Shapiro says:
Rav Kook opposed women voting. He says the role of the woman is not to be in the public sphere. The Mercaz HaRav school — the ideological descendants of Rav Kook — have the most extreme standards of [...]

Rabbi Gil Student writes:
The main question discussed is Nehama’s relationship with feminism. On the one hand, she was a female Torah teacher long before they became common, as they now are in some communities. And she was such a unique educator with only one agenda — to teach Torah — that she broke through most [...]

From a JTA blog (link):
Rabbi Avi Weiss announced last week he was creating Yeshivat Maharat, "an Orthodox Yeshiva of Higher Learning … [to] train women to become Orthodox Spiritual Leaders – full members of the Rabbinic Clergy – in Synagogues, Schools, and on University Campuses." The products of said yeshiva won’t be rabbis, though, they’ll [...]

The Jewish Week’s Elicia Brown reports:

As an egalitarian Jewish woman and a chronicler of the Orthodox feminist movement, I would have been thrilled if the Hebrew Institute of Riverdale’s Rabbi Weiss had ordained Hurwitz as a rabbi (as rumors initially suggested might happen). But meeting Hurwitz in her tiny office space at the Hebrew Institute, [...]

From The Jerusalem Post:
A rabbi in northern Israel who came under attack for what some called blatant male chauvinism agreed this week to stop reproaching women for eulogizing their deceased loved ones.
Haim Adani, Rabbi of Elyachin, a town of about 3,000 residents located near Hadera, agreed to stop preaching against women who asked [...]

Orthodox rabbi Gil Student writes:
On Sunday March 21st, 2009, Rabbi Avi Weiss conferred Yoreh Yoreh ordination on his congregational intern, Ms. Sara Hurwitz. The official certificate does not use the term rabbi but instead Rabbi Weiss invented a new term for this occasion – Maharat (Manhigah Hilchatit Ruchanit Toranit). Note also that Ms. Hurwitz [...]

Moshe responds to the argument that there is no objection in Jewish law to a woman becoming a rabbi:

You mention the Rav, which is ironic since it’s well documented that he objected to women even being shul president, let alone clergy. Rav Moshe allowed a woman to be a mashgiach only for dire need (a [...]

Reb Mimi Feigelson, who some say was the first woman ordained an Orthodox rabbi (99% of Orthodox Jews would not recognize any woman as a rabbi), led the shul kiddish one Shabbos morning three weeks back.
Leading the kiddish has been a ritual traditionally left to men.
This is the first time I know of a woman [...]