וַיַּעֲנ֨וּ כָל־הָעָ֤ם יַחְדָּו֙ וַיֹּ֣אמְר֔וּ כֹּ֛ל אֲשֶׁר־דִּבֶּ֥ר יְהוָ֖ה נַעֲשֶׂ֑ה וַיָּ֧שֶׁב מֹשֶׁ֛ה אֶת־דִּבְרֵ֥י הָעָ֖ם אֶל־יְהוָֽה׃
백성이 일제히 응답하여 가로되 여호와의 명하신 대로 우리가 다 행하리이다 모세가 백성의 말로 여호와께 회보하매
Shulchan Arukh, Orach Chayim
2. Women are obligated in Kiddush, even though it is a positive commandment that time causes (meaning, a positive commandment dependent on time), because Remember is compared to Guard. And these women, since they are included in watching, they are include in remembering. And they can discharge men (from their obligation) since they are obligated biblically, like them.