Is it appropriate to cite a piece of academic work when the author has been charged with child pornography? It has recently come to my attention that a renowned scholar in my field whose academic journals have been highly influential in my area of research has recently been charged with child pornography. Is it possible to separate the scholar from their work? And will my thesis research, in turn, be judged for referencing the work?
Of course it is appropriate. Why not? They did relevant work, so you have to cite them. With citing, you do your duty -- you are in no way saying you "like" the cited persons.

Of course, I am assuming that their research is sound and is not somehow influenced by the child pornography. It was a different case if there were problems with the research.

On the other hand, not citing them could get you into big (or small) trouble.