Which Dexter?
A key element in Psychopaths is that they don't hold true love or empathy towards anyone. Should they feel or show "love", then its likely some twisted form of lust or obsession, and should they appear "nice or kind" then its likely superficial just to trick or manipulate others (good examples here being the Joker).
However, psychopaths can be deemed as Protective, as long as their caring side doesn't contradict their lack of empathy (a good former example of this was All For One).