Is a woman considered a sotah if she cheated on her husband with another woman?

Question

Would a woman that cheated on her husband with another woman qualify as a sotah?

יז: וְלָקַח הַכֹּהֵן מַיִם קְדֹשִׁים, בִּכְלִי-חָרֶשׂ; וּמִן-הֶעָפָר, אֲשֶׁר יִהְיֶה בְּקַרְקַע הַמִּשְׁכָּן, יִקַּח הַכֹּהֵן, וְנָתַן אֶל-הַמָּיִם

17: The kohen shall take holy water in an earthen vessel, and some earth from the Mishkan floor, the kohen shall take and put it into the water.

כז: וְהִשְׁקָהּ אֶת הַמַּיִם וְהָיְתָה אִם נִטְמְאָה וַתִּמְעֹל מַעַל בְּאִישָׁהּ וּבָאוּ בָהּ הַמַּיִם הַמְאָרְרִים לְמָרִים וְצָבְתָה בִטְנָהּ וְנָפְלָה יְרֵכָהּ…‏

22: He shall make her drink the water, and it shall be that, if she had been defiled and was unfaithful to her husband, the curse bearing waters shall enter her to become bitter, and her belly will swell, and her thigh will rupture.…

Answer 1

The Babylonian Talmud sets forth in Yemavot p.76 A that relations between women are not considered actual sexual relations, stating, "“And even according to Rav Eleazar, who stated that an unmarried man who cohabited with an unmarried woman with no matrimonial intention renders her therefore a prostitute [zona], this disqualification ensues only in the case of a man, but when [the case] is that of a woman [playing around with another woman] the action is regarded as mere obscenity.”

We pasken like this Gamarra, as set forth by the Rambam in Hilchot Issurei Bi’ah 21:8, stating “For women to play around with one another is forbidden and belongs to ‘the practices of the Egyptians’ concerning which we have been warned, ‘You shall not copy the practices of the land of Egypt’…But though such conduct is forbidden, it is not punishable by lashing since there is no specific prohibition against it and in any case no sexual intercourse takes place at all. Consequently, such women are not forbidden to the priesthood on account of unchastity, nor is a woman prohibited to her husband because of it, since this does not constitute unchastity. But it is appropriate to flog such women since they have done a forbidden thing. A man should be particularly strict with his wife in this matter, and should prevent women known to indulge in such practices from visiting her, and her from going to visit them.”

As such, a woman in this position would not be considered a sotah and would be permitted to remain with her husband even if he were a Kohain.