  We investigate the 3-form singularities that are typical to anti-brane
solutions in supergravity and check whether they can be cloaked by a finite
temperature horizon. For anti-D3-branes in the Klebanov-Strassler background,
this was already shown numerically to be impossible when the branes are
partially smeared. In this paper, we present analytic arguments that also
localised branes remain with singular 3-form fluxes at both zero and finite
temperature. These results may have important, possibly fatal, consequences for
constructions of meta-stable de Sitter vacua through uplifting.
