* gg5: a house where the woman 「wears the trousers [is the boss, rules the roost, *wears the pants].
* wisdom: 彼の家はかかあ天下だ His wife is the boss in his house. His wife wears the pants [the trousers] in his family. He is a henpecked husband.
* prog: かかあ天下｜petticoat government
    うちは結婚以来かかあ天下だ｜I have been henpecked ever since we got married.
* genius: うちはかかあ天下だ　My wife wears the pants in our home.

かかあ殿下 1,557 <- meikyo: 誤用

Doesn't refer to the wife herself, but the state of affairs. Though makes glossing unwieldy.

@@ -21,0 +22,4 @@
+<k_ele>
+<keb>かかあ殿下</keb>
+<ke_inf>&sK;</ke_inf>
+</k_ele>
@@ -27 +31,5 @@
-<gloss>extremely overbearing wife</gloss>
+<xref type="see" seq="1434170">亭主関白</xref>
+<gloss>household with the wife as the boss</gloss>
+<gloss>wife wearing the pants</gloss>
+<gloss>wife ruling the roost</gloss>
+<gloss>house with a henpecked husband</gloss>

〈嬶／嚊／かかあ／かかー／かかぁ／カカア／カカー／カカァ〉〈天／でん〉〈下／か〉

Google N-gram Corpus Counts
╭─ーーーーーー─┬───────┬───────╮
│ かかあ天下　 │ 9,476 │ 53.6% │ - add
│ カカア天下　 │ 6,289 │ 35.6% │ - add
│ カカァ天下　 │ 1,105 │  6.3% │ - add, sK
│ 嬶天下　　　 │   282 │  1.6% │ - rK (meikyo, sankoku)
│ カカー天下　 │   107 │  0.6% │
│ 嚊天下　　　 │    89 │  0.5% │ - add, rK (daijr/s, koj, etc.)
│ かかあでんか │   322 │  1.8% │
╰─ーーーーーー─┴───────┴───────╯

@@ -4,0 +5,10 @@
+<keb>かかあ天下</keb>
+</k_ele>
+<k_ele>
+<keb>カカア天下</keb>
+</k_ele>
+<k_ele>
+<keb>嚊天下</keb>
+<ke_inf>&rK;</ke_inf>
+</k_ele>
+<k_ele>
@@ -5,0 +16,5 @@
+<ke_inf>&rK;</ke_inf>
+</k_ele>
+<k_ele>
+<keb>カカァ天下</keb>
+<ke_inf>&sK;</ke_inf>