Words to describe the person who made the complaint and the one who is being complained
A person who made a complaint is a complainant
A person who is being complained about is a complainee
Edit :
I've had a good look on the internet and can't find a definition of complainee other than those used in contracts for housing associations (worldwide) and similar not strictly legal enforcement entities, however the word is used very widely in the meaning of the person who is complained about in all manner of places, legal and otherwise include the UK Police Guide and the US Attorney General website.
It's used but not defined in a couple of legal dictionaries and the only place that I've found a definition for it is the OED1 which defines is as
(kɒmˌpleɪˈniː) [f. complain v. + -ee, the suffix not being here etymological.] The person complained against.
It's not marked as 'rare' or 'obsolete'. One reference in one dictionary usually doesn't stand a word in good stead but as it's the OED I imagine that gives it some weight. Why it's not defined on other dictionaries is a mystery.
It's also worth nothing that on my scour of the internet I found an awful lot of people using it to mean the complainant as in there were a lot of us complainees talking to the manager so if you need to then you should make it clear what you mean.
"Respondent" can be used to describe a person against whom a complaint is made.