Hey man. I don't think thinking that your stutter has the ability to hurt relationships is false. Your stutter will hurt the relationships that were never going to work anyway. Your stutter has the ability to filter out the bad and bring in the good. Be thankful for that. With that said though, if you let your stutter dicate your personality and you hide/repress your true self everytime you stutter.. then obviously you will not attract genuine people because you are not being genuine yourself. That may be the reason why you feel like no relationship is working out. Because you, yourself are not showing up with your true personality. Do you find that you can't express your true personality with girls you like ?