  Anti-D3 branes at the bottom of warped throats, commonly used to uplift the
cosmological constant in String-Theory de Sitter proposals, source a plaethora
of supersymmetry-breaking fluxes, that can interact nontrivially with other
ingredients of the flux compactification. In this paper we perform a
complex-structure decomposition of these fluxes, and compute the effect of the
(0,3) flux component on the stabilization of K\"ahler moduli via D7-branes
gaugino condensation. This allows us to obtain a new constraint on the validity
of this stabilization mechanism. This effect does not appear hard to satisfy in
de Sitter construction proposals that use long warped throats, but may be
problematic in proposals where the warping is small.
