i know you want to hear a way for you not to go to the doctor. i'm sorry but you do need to go. Maybe we need to talk about why you don't want to go.

Are you afraid the doctor will find out how your finger got broken? Even if it would be good to tell, no one can make you tell.

Do doctors scare you? Do you have a friend who can go with you to the doctor to help you feel safe?

Can you think of ways to comfort yourself for what needs to be taken care of here?

i hope you can get what you need to take care of yourself. It would not be good to ignore your finger and your body's needs.