sheikha, n. — Green’s Dictionary of Slang

sheikha n.

[Sheikha, an Arab lady or matron of good family; the chief wife of a sheikh]

the female consort of a sheik n.¹ (1)

1923		Atlanta Constitution 24 June mag. 10/3: The ‘sheika’ which is the feminine of sheik in Webster’s Unabridged of the slang of 1923.
1926		Maines & Grant Wise-crack Dict.