  One of the important problems with the existence of weak gravity conjecture
($WGC$) is the violation of the cosmic censorship. Such a cosmic phenomena is
important and consistent in general relativity. It means that for a charged
black hole in four dimensions and in the normal state, the $WGC$ cannot hold
due to the violation of the weak cosmic censorship conjecture ($WCCC$). But in
this paper, in order to eliminate such a violation, we try to consider RN black
hole at two cases, with quintessence, quintessence and cloud of strings in
asymptotically flat and non-asymptotically flat. By using such metric
background and applying restrictions on its parameters, we show that there will
be a good compatibility between $WGC$ and $WCCC.$ Here, we can also see that
quintessence case has less freedom in establishing compatibility than
quintessence and cloud of strings. Because in the second case, the number of
parameters is more and there is a degree of freedom to better establish the
compatibility of two theories. Also, here we explain charged black hole in
\emph{presence of quintessence and cloud of string} for $Q>M$ and use some
interesting figures we show the corresponding the black hole has an event
horizon.
