Likely a modern American blend of Tanya and Monique
Tanique is a modern invented name, likely created by combining the Russian-derived Tanya (meaning 'fairy queen') with the French Monique (meaning 'advisor'). It emerged in the late 20th century as a unique rhythmic choice within African American naming traditions. Because it is a contemporary coinage, it lacks a singular ancient etymology.
Less common today
Tanique isn't in the latest US Top 1000. It last peaked at #5,829 in 1991.
US births per 5-year period, 1990βpresent (SSA data).