Try to talking to yourself in front if mirror everyday, you will gain lot of confidence and so what if you stutter while talking to new people, It's not that uncommon.  Stuttering doesn't make you an evil person, or dumb or a burden. It's just that you take a little bit of extra time to say the things you want which is alright because it is something out of our control. If it is morally and ethically right to wait fir a blind person to cross a road even if it takes 10 min , it is morally and ethically appropriate to wait 10-15 sec extra you a stutter, If anybody makes fun of you then they are pretty immature