Can a woman be a zadik? Who of the matriarchs would be considered a zaikai if women can be. Thank you.
Of course a woman can be a tzaddik, which just means a righteous person. (Though grammatically the term would technically be "tzadeket" since that is the feminine form of the word.) All the matriarchs and heroines of scripture and Rabbinic writings are traditionally considered "tzadikim". In fact, the first mishna in Perek Chelek of Tractate Sanhedrin invokes the verse (Isaiah 60:21) "Thy people also shall be all righteous (tzadikkim), they shall inherit the land for ever; the branch of My planting, the work of My hands, wherein I glory." to indicate that "All Israel has a share in the world to come..." (whether male or female). Non-Jews who accept and are careful to keep the 7 Noachide commandments are also considered righteous and merit a share in the World to Come, again without regard to gender (and, in fact, are even called "hassid" [pious]; see, e.g. Maimonides' Mishna Torah The Laws of Kings 8:11).