  It was recently shown that in warped compactifications based on a
Klebanov-Strassler throat there is a light complex structure field, governing
the size of the throat and the redshift at its tip. We show that after uplift
of the cosmological constant by an anti-D3 brane at the tip of the throat, the
contribution to supersymmetry breaking coming from the new light field is
large. We work out the mass scales, in particular the condition for this field
to be heavier than the K\"ahler modulus. We check that for the range of
parameters relevant for the destabilization we find agreement with de Sitter
swampland conjecture. Adding matter fields on distant branes, we discuss the
effects on supersymmetry breaking in the observable sector. A hierarchically
small scale of supersymmetry breaking translates generically into large values
of localized D3 charges in the manifold.
