How you don't care about the stutter?

How you don't care about the stutter? When you break-up with your bf/gf or he/she breaks up with you, you know what you need to do in order to get through it: take distance and take time to yourself, and then trust that everything will pass and it's gonna be alright. You can take distance from a person in order to get over him/her. Now, after some time you get to accept it. Excellent. Now my question: how you don't care about the stutter? How do you take distance from it if it's inside you? INSIDE you. You can't take distance from yourself because it's you. There's no escape. So... how to not care about your stutter?