  We study all transverse deformations of the extremal
Reissner-Nordstr\"{o}m-(A)dS horizon in the Einstein-Maxwell theory. No
symmetry assumptions are needed. It is shown that for the generic values of the
charge, the only allowed deformation is spherically symmetric. However, it is
shown that for fine-tuned values of a charge, the space of deformations is
larger, yet still finite-dimensional.
