The woman is Israel in the tribulation "week". Satan makes war with her, in particular going after those left there after the 144,000 are taken up by the Lord. Jews in Israel will have that brief window of time to be convinced after seeing that happen, receiving Jesus as the promised Messiah they rejected 2 millennia.
Yes the woman is Israyl:
Romans 9:6-8, "However, it is not as though Yahweh's plan had failed. For it is not everyone who is a descendant of Israyl who belongs to Israyl. Nor, just because they are his descendants, are they all Abraham's children; but: In Isaac will your seed be called. That is, it is not those who are the children of the flesh who are Yahweh's children; but it is the children of the promise who are regarded as Abraham's seed."
Psalm 105:6-9, "O seed of Abraham His servant, You children of Yaaqob, His chosen ones! He is Yahweh our Father! His judgments are in all the earth. He has remembered His covenant forever, the Law He commanded for a thousand generations; Which He made; ratified, established, with Abraham, and vowed by His oath to Isaac. He confirmed it; let it stand, to Yaaqob for a Law, and to Israyl for an everlasting covenant."
Galations 3:28,29, "Is there not the Yahdai as well as the Greek; Gentile? Is there not the slave as well as the freeman? Is there not the male and the female? For all of you must be in unity in Yahshua Messiah. And if you are in Messiah, then you are a seed of Abraham, heirs according to the promise."
Psalam 89:26-37, "He will call out to Me; You are my Father, O Yahweh! You are the Rock of my salvation! And I will make Him My firstborn, higher than the kings of the earth. My mercy I will keep for Him forever and My covenant will stand fast with Him. And I will establish his Seed forever, and his throne will be as the days of heaven. Should his children forsake My Law, and refuse to walk in My judgments; Should they profane My statutes, and fail to keep My commandments; Then I will punish their transgression with the rod, and their iniquity with lashes from the whip. Nevertheless, My lovingkindness I will not utterly withdraw from him, nor will I ever betray My faithfulness. My covenant I will not break, nor will I change what has gone out of My lips. Once for all, I have vowed by My holiness--I cannot lie, and I say to David: His Seed will endure forever, and his throne will endure before Me like the sun. His throne will be established forever like the moon: the faithful witness in the sky."
and how can these be explained away?
Revelation 14:12, "In this manner are the saints purified--by keeping the Laws of Yahweh, (in conformity) with the faith in Yahshua Messiah."
"Laws" is word #1785 entolé
Definition: an ordinance, injunction, command, law.
Revelation 22:12-15, "And behold, I come quickly, and My reward is with Me, to give every man according as his work will be. I am the First and the Last, the Beginning and the End. Blessed are those who keep His Laws, that they may have right to the tree of life, and may enter in through the gates into the city. For outside are dogs, and sorcerers, and whoremongers, and murderers, and worshipers of gods and everyone who professes to love, yet practices falsehood."
Mattithyah 24:12, "And because iniquity will abound, the love of the many will grow cold."
"iniquity" is:#0458 anomia {an-om-ee'-ah} from G0459
Greek Word Study (Transliteration-Pronunciation Etymology & Grammar)
1) the condition of without law
1a) because ignorant of it
1b) because of violating it
2) contempt and violation of law, iniquity, wickedness