We report the extreme sensitivity of the resonance fluorescence spectr
a of a two level atom interacting with a detuned classical field to th
e presence of a very weak squeezed vacuum (which includes a black body
field as a special case). Large asymmetries are induced by these very
weak perturbations. For an appropriate choice of squeezing phase, a p
ronounced minimum is found in one of the peaks as the intensity of the
squeezed field increases. The connection with population trapping in
squeezed fields is established, and a physical interpretation provided
.