  We examine the weak cosmic censorship conjecture (WCCC) for the extremal
charged black hole in possible generalizations of Einstein-Maxwell theory due
to the higher order corrections, up to fourth-derivative terms. Our derivation
is based on Wald's gedanken experiment to destroy an extremal black hole. We
find that, provided the null energy condition for the falling matter, the WCCC
is preserved for all possible generalizations. Thus, the WCCC cannot serve as a
constraint to the higher order effective theories. We also show that up to
first order variations of black hole mass and charge, WCCC is preserved for
non-rotating extremal black holes in all $n$-dimensional
diffeomorphism-covariant theories of gravity and $U(1)$ gauge field.
