  In this paper, we prove that temperature patch solutions to the subcritical
Boussinesq-Navier-Stokes System with no diffusion preserve the H\"older
regularity of their boundary for all time, which generalises the previously
known result by F. Gancedo and E. Garc\'ia-Ju\'arez [Annals of PDE, 3(2):14,
2017] to the full range of subcritical viscosity.
