  We consider the rough differential equation with drift driven by a Gaussian
geometric rough path. Under natural conditions on the rough path, namely
non-determinism, and uniform ellipticity conditions on the diffusion
coefficient, we prove path-by-path well-posedness of the equation for poorly
regular drifts. In the case of the fractional Brownian motion $B^H$ for
$H>\frac14$, we prove that the drift may be taken to be $\kappa>0$ H\"older
continuous and bounded for $\kappa>\frac32 - \frac1{2H}$. A flow transform of
the equation and Malliavin calculus for Gaussian rough paths are used to
achieve such a result.
