One explanation out there:
GENESIS 3:15 contain the pronouncements to two angels with respect to their future. The two angels are Michael the archangel/Jesus Christ and, obviously, Satan.
To JESUS God said: "I shall put enmity between you and the woman [Satan] and between your seed and her seed.
To Satan/The Woman: He [Michael] shall crush your head and you shall crush his heel."
This is establishing the competition and eventual war between Christ and Satan and their respective followers in heaven, which is culminated in Revelation in the battle in heaven, where Satan and "her seed" comprising one-third of the angels are cast out of heaven. Satan appears as a "woman" here in Genesis because of his function in relation to Christ as a helper. Things in the Garden of Eden were patterned after Christ and Satan. The tree of Knowledge and Adam were patterned after the functioning husband, Jesus Christ. The Tree of Knowledge and Eve were patterned after Satan's position in heaven. So Genesis 3:15 is actually the divorce occurring between Satan and Christ. Christ's new bride, of course, is the "church", the 144,000. So in a technical sense, the 144,000 replace Satan with respect to being Christ's "woman."
The WTS represents the woman as representing Jehovah's wife, I believe, which is incorrect, at least in this case. The fundamental message here is a conflict between two angels and their respective followers or offspring. The conflict is between Michael and Satan and Michael's angels and Satan's angels. In heaven, Satan functioned in the important role as Christ's companion and counterpart and thus "wife" or "woman." Once divorced, however, Christ takes up a new wife from the sainted people of the earth. So the 144,000 make up Jesus' second wife, replacing Satan.
The concept of Satan being a woman, though, shows up interestingly in Jewish pagan folklore as Lillith, which in turn showed up in a lot of Christian artwork where Satan is depicted as a snake-woman. As usual, the WTS is completely clueless as to what the Bible is really teaching us.
Below is the depiction by none other than Michaelangelo of "The Fall" where Satan is depicted as a snake-woman: