Green’s Dictionary of Slang

rita n.

[gay icon Hollywood star Rita Hayworth (1918–87)]

(S.Afr. camp gay) a male prostitute.

[US]B. Rodgers Queens’ Vernacular 111: a male prostitute [...] Rita (Camp Town gay sl).
[SA]K. Cage Gayle 91/2: Rita n. male prostitute who services gay men.