Green’s Dictionary of Slang

mammy-dodger n.

(US black) euph. for motherfucker n.

1939		R. Ellison ‘Harlem’ 2: He said: ‘You aint a good follow like the other cats. You wont take me up to Harlem and show me around.’ I said: ‘Hell yes, mammydodger, I stink! If thats what you mean Im gon always stink.’.
1948		J.E. Webb Four Steps to the Wall 126: I sure nuff show ol white boy mammy-dugger how’s feel jigga-jagga—heeeee!

In derivatives

mammy-dodging (adj.)

euph. for motherfucking adj.

1970

(con. 1920s) Thompson Collection n.p.: Why that mammy-dodging potlicker didn’t even know what shoes was till he was twenty-nine [HDAS].