What do you think about me asking my father not to tell people about my autism
Are you ashamed of your autism?
No, I am confident about myself.
I understand, people should respect others wishes about divulging  personal info. It's good to have a private side.
I swear I'm going to start a twitter account to make a joke about myself saying that I'm not autistic and that I never said I was autistic. It'll probably get retweeted a lot.
I don't know if posting on social media would accomplish your goal. If you don't want your father to divulge information about your condition, you should just be direct with him.