Today my cousin had played Fortnite with his 11 year old friend.
When I asked him who he was playing with, he pulled the microphone out of his nintendo switch
That means he's ashamed of me or what?
I told him it was very rude and he freaked out, he always does when he's playing with his friends and I tell or ask him something.
Why does he do this?
I don't have an annoying voice either and I always ask it a little quietly so that he doesn't do it but he does it again.
Why?
He is 11
If I understand your concern correctly, it is about your cousin pulling out the microphone when you talk. Incidentally, I usually do that too, so mute my microphone when someone comes into the room.
He'll probably do that for the same reason that I do: he doesn't want his friends to hear you.
This is not because of your voice or anything, but rather because he wants to protect your and his privacy.
Helpful ^^
He's right, don't worry about it!
^^