Halakhah sobre Deuteronómio 22:5
לֹא־יִהְיֶ֤ה כְלִי־גֶ֙בֶר֙ עַל־אִשָּׁ֔ה וְלֹא־יִלְבַּ֥שׁ גֶּ֖בֶר שִׂמְלַ֣ת אִשָּׁ֑ה כִּ֧י תוֹעֲבַ֛ת יְהוָ֥ה אֱלֹהֶ֖יךָ כָּל־עֹ֥שֵׂה אֵֽלֶּה׃ (פ)
<span class="x" onmousemove="Show('perush','Este es el <b>39no Precepto Negativo</b> enumerado por el Rambam en el Prefacio a Mishné Torá, su “Compendio de la Ley Hebrea” para todo el Pueblo de Israel.',event);" onmouseout="Close();">No vestirá la mujer hábito de hombre</span>, ni <span class="x" onmousemove="Show('perush','Este es el <b>40mo Precepto Negativo</b> enumerado por el Rambam en el Prefacio a Mishné Torá, su “Compendio de la Ley Hebrea” para todo el Pueblo de Israel.',event);" onmouseout="Close();">el hombre vestirá ropa de mujer</span>; porque abominación es á SEÑOR tu Dios cualquiera que esto hace.
Peninei Halakhah, Women's Prayer
However, Maharil (New Responsa §7) says that women should not wrap themselves in a talit, mentioning several reasons, such as that we are concerned about forbidden fabric mixtures (sha’atnez), carrying on Shabbat, presumptuous customs, and arrogance. He also mentions an esoteric reason. In Minhagei Maharil (Tzitzit 4), he writes that there were women who wrapped themselves in tzitzit, including the wife of Mahari Brin. Even though he was not pleased with this practice, he did not object. See also Agur, Laws of Tzitzit 27, which mentions this practice. Targum Yonatan of Devarim 22:5 implies that it is forbidden for women to wear tzitzit because it is forbidden for women to wear men’s clothes. However, none of the Rishonim who dealt with the issue mentioned this concern, even though some Aḥaronim (including Ben Ish Ḥai, Year 1, Lekh Lekha 13) did mention it.
SA 17:1 rules:
Women and slaves are exempt, because it is a time-bound positive mitzva. Rema: Nevertheless, if they wish to wrap themselves in it and recite the berakha, they may do so, just like other time-bound positive mitzvot (Tosafot, Rosh, and Ran on the second chapter of Rosh Hashana and the first chapter of Kiddushin). Yet it appears arrogant, and therefore they should not wear tzitzit since it is not an obligation that devolves upon the individual (Agur §27), that is, one is not required to purchase a garment in order to become obligated in tzitzit.
Thus, there is no concern for any halakhic violation, whether out of concern for sha’atnez or wearing men’s clothing. Rema wrote that women should not wrap themselves in tzitzit only because it appears arrogant.
R. Moshe Feinstein addresses this issue thoroughly and writes that if a woman’s purpose in wrapping herself in tzitzit is for God’s sake, she may do so and it is a credit to her. She should use a garment that looks different from a man’s talit (such as by using other colors). According to Ashkenazic custom, she may recite the berakha. However, if she wishes to wrap herself in tzitzit because of external influence, and her purpose is to fight for the cause of feminism, and she wishes to join the fray out of resentment and in order to change the laws of the Torah, it constitutes a denial of the Torah, and she forfeits her share in the next world (Igrot Moshe OḤ 4:49).
Therefore, in my opinion, a woman who wants to wrap herself in tzitzit for God’s sake may do so in private. There is no concern for arrogance, and it is not an expression of resentment against halakha and the tradition. If many women do so for God’s sake and in private, then over time even if they wear tzitzit in non-private setting it will not be considered arrogance or an offense against the traditions of the Torah. Nevertheless, in my opinion, even today one should not object to a woman whose intentions are for God’s sake and who wraps herself publicly in tzitzit, for she has authorities upon whom to rely. However, one should object to women who are not meticulous about many mitzvot but who specifically wear a talit publicly in order to express their opposition to halakhic tradition.