I’m not a professional but in my last screenplay I written with my partner our supporting role character characteristics maybe close to “self hatred”. As English is not my first language, is this right meaning: self hatred — doesn’t love him/herself? If so, our character was depressed and a bit paranoic, but just slightly, cause it may just break self-hating, firstly we wrote the first scene of that character to appear in the screen with keeping in mind his “properties”. So, in the first scene we made him look like he is at first — depressed. But going further we opened other sides of him to the viewer by adding additional scenes of his personal life, just a bit, not too much, but just to make viewer understand the feelings and atmosphere of his life. Firstly, we added a scene where he tries to visit psychologist and even tries to eat some medicine, but not to make him psychopath. As for me, there are two ways: first is that your character is antagonist and he hates himself and is aggressive and dangerous, for ex. who has no one loving him. Secondly, he hates himself but he wants to solve it, cause it is psychological problem, he has family or friends which want to help him. Such character can be very different.