Zydeco (/ˈzaɪdɪˌkoʊ/ ZY-dih-koh or /ˈzaɪdiˌkoʊ/ ZY-dee-koh, French: Zarico) as a dance style has its roots in a form of folk dance that corresponds to the heavily syncopated zydeco music, originated in the beginning of the 20th century among the Francophone Creole peoples of Acadiana (south-west Louisiana).
Because of the very lively music, the overall style is small sidewise steps with relatively steady upper body and no hip swinging, wiggling or jumping.
Finally, the lively zydeco music with its accented 2nd (and 6th) beats will force you to do something rather than simply "pause" on counts 2 and 6.
Usual "fill-ins" are kicks, toe or heel taps, flicks, brush, etc.
There can also be a pulse on these second and sixth beats; by bending the knee, dropping the butt, etc., ... and these accents can be strong or subtle depending on the inclination of the dancer and the feeling of the music.