What is the ruling regarding my prayer, since I left the women and prayed alone, and what is the ruling regarding the prayer of the women who prayed two rak'ahs of Jumu'ah prayer, with part of their prayer being led by a woman?

A woman's imamate (leadership in prayer) for Friday prayer is not valid for men or for women. This is because a woman is not among those for whom Friday prayer is obligatory. A condition for Friday prayer is that a man leads it. Therefore, Friday prayer is not valid if led by a woman, and whoever prayed behind her must repeat the Dhuhr (noon) prayer.