We focus on a simple, natural and predictive version of T-model inflation in Supergravity employing as inflaton the Higgs field which leads to the spontaneous breaking of a \(U(1)_{B-L}\) symmetry at the SUSY GUT scale. We use a renormalizable superpotential, fixed by a U(1) R symmetry, and a Kähler potential which parameterizes the Kähler manifold \(SU(2,1)/(SU(2)\times U(1))\times (SU(2)/U(1))\) with scalar curvature \(\mathcal{R}_{K}=-6/N+2/{N_{0}}\) where \(0<{N_{0}}<6\) . The spectral index \(n_{\textrm{s}}\) turns out to be close to its present central observational value and the tensor-to-scalar ratio r increases with \(N\lesssim 36\) . The model can be nicely linked to MSSM offering an explanation for the magnitude of the \(\mu \) parameter consistently with the phenomenological data. It also allows for baryogenesis via non-thermal leptogenesis with gravitino as light as \(1~\textrm{TeV}\) .