The woman whore on the beast is not a church but a city.
It's the great city which reigns over the kings of the earth.
You don't understand Bible symbolism. Here are some symbols used in Revelation 17 with the Bible verses that explain the symbolism. They are not private at all.
Woman, Pure = True Church Jeremiah 6:2; 2 Corinthians 11:2; Ephesians 5:23-27
Woman, Corrupt = Apostate church Ezk. 16:15-58; 23:2-21; Hos. 2:5; 3:1; Rev.
Harlot = Apostate church/religion Isaiah 1:21-27; Jeremiah 3:1-3; 6-9
Heads = Major powers/rulers/governments Revelation 17:3, 9, 10
Babylon = apostasy/confusion/rebellion Gen. 10:8-10; 11:6-9; Rev. 18:2, 3; 17:1-5
Beast = Kingdom/government/political power Daniel 7:17, 23
Wine = blood/covenant/doctrines Luke 5:37, Isaiah 5:1-7
Waters = Inhabited area/people, nations Revelation 17:15
Purple = Royalty Mark 15:17, Judges 8:26
Red/Scarlet = Sin/corruption Isaiah 1:18; Nahum 2:3; Revelation 17:1-4
Horn = King or kingdom Daniel 7:24; 8:5, 21, 22; Zechariah 1:18, 19; Revelation 17:12
Clothing = Character Isaiah 64:6, Isaiah 59:6
Crown = A Glorious Ruler or Rulership Proverbs 16:31, Isaiah 28:5, Isaiah 62:3
Blood = Life Leviticus 17:11; Deuteronomy 12:23
Bottomless pit = Earth in chaos, torn up, dark and empty Genesis 1:1,2; Jeremiah 4:23-28; Isaiah 24:1-4, 19; Revelation 20:1-3
Crowns = Kingship, victory 1 Chronicles 20:2; 2 Kings 11:12; Ezekiel 21:26,27; James 1:12; 2 Timothy 4:7,8; 1 Corinthians 9:25
Cup = Meted out suffering and judgments Psalms 11:6; Isaiah 51:12,22-23; Jeremiah 25:12-17; 49:12
This Church has many characteristics, not just one. The Papacy owns Vatican city state, has its own bank, political system, defence and security. It is a Church and a city state. Here is what Google says about it,
"Vatican City, a city-state surrounded by Rome, Italy, is the headquarters of the Roman Catholic Church."
On
this website it tells who is the head of Vatican city state.
"Vatican City State is governed as an absolute monarchy. The Head of State is the Pope who holds full legislative, executive and judicial powers. During a sede vacante (between the death of a Pope and the election of his successor), these powers are exercised by the College of Cardinals. The Pope is elected by the Cardinals who are under eighty years of age. He becomes Sovereign of Vatican City State the moment he accepts his election as Pope."
"And here is the mind which hath wisdom. The seven heads are seven mountains, on which the woman sitteth" (
Revelation 17:9).
Rome is known as the city of seven hills. The Vatican sits on one side of the Tiber River, facing the seven hills.