Called "woman"

Please read this with care. I will use terms that do not indicate the moral position of the people involved, but identify a motif in sensus plenior that has an interpretation outside the literal meaning of the historical accounts.

In sensus plenior, nearly all the women of the Bible are used in the prostitute-virgin bride motif. ( I say nearly because I haven't systematically studied them all, but those with predominant stories all fit.)

Rachel was a virgin, but the wordplay says the servant 'took' her, which word also means 'married' and further states that when she saw Isaac she covered herself, implying in riddle that she was uncovered with the servant. These words do not impugn Rachel, since it is a double entendre speaking of Christ and the church.

Rebekah and Leah together paint the same motif, Leah represents the prostitute in the picture, and Rebekah the virgin

Tamar played a prostitute, Judah said he would 'send' a goat, which word also means 'sow' as a shadow of the virgin birth, Judah was told there was no prostitute there, and later Tamar was pronounced more honorable than Judah. (Yes, the whole story of Tamar is a shadow of the birth of Christ). Tamar paints the prostitute-virgin bride.

The woman at the well was basically a prostitute, but she became the bride of Christ as she was gathered into the church.

Even Mary fulfills the role being suspected of prostitution, but being declared Holy.

Gomer was a prostitute but named her son Jezreel meaning 'God sows', again as a prophecy of the birth of Christ, and painting the prostitute-virgin bride motif.

Eve also falls into the motif. Israel and the church are the p & v.

There are many others. By the way, in another thread someone said there were no prophecies of a virgin birth, each of these is.

We see each person of the Godhead's role, through the women at the well. Rachel was chosen by the Father. Rebekah was wooed, or called by the Son The woman at Sychar was gathered by the Spirit. Why the Spirit you ask? Sychar means 'intoxicated' pointing to Pentecost and the Spirit.

The answer to the OP is that the woman is called woman since she participates in the same motif as the others and we are to meditate upon the motif as it applies to Christ and the church.