I've never heard the term. I'm sorry that you hurt yourself. People are afraid of what they don't understand. Your behavior makes them uncomfortable. Different people deal with discomfort in different ways. I hope you will consider getting help to stop. When you are young everything seems so intense. I don't want you to look back on your life and see the years you've wasted. You have a hope and a future. ;)
People don't hate you maybe they simply haven't got the chance to know you as a person to think or say they hate you so my guess is they don't hate you but try not labeling yourself as Emo just be yourself and if Emo is you don't half to tell people but don't harm yourself because of other people some people are just cruel or just plain idiots to hate you or say anything bad or bully you its best to not show them that they have not won or effect you at all or if your feeling down take the people out of your life that hurt you or don't let anyone get to you stay strong
As long as your not bragging about being called a '' emo or emotional wreck '' which are the same thing , then you can tell your parents that you need to talk to a doctor in private or if your an adult , go seek treatment / help .... then that name '' emo ' will be dropped from your vocabulary and you will begin to heal .