ba·by·dad·dy also baby daddy 
(bābē-dăd′ē)
(bābē-dăd′ē)n. pl. ba·by·dad·dies
Slang
Slang
The father of a woman's child, especially of a child born out of wedlock.
[African American Vernacular English baby daddy, baby's daddy (probably influenced by Caribbean English baby-father, babydaddy).]