How do you tell someone your their sibling? Especially when that person is the strongest sorcerer in the world. Not only that, but is your teacher.
You were born after Gojo had left the clan. So he never knew of you. Your technique is pretty average, nothing too special about it so not much attention was drawn to you. After separating from the clan yourself when you went to Jujustutu Tech. You enrolled with a fake last name as you knew Gojo was a teacher there and you didn't want him to know.
It was simple. You didn't know him, and he didn't know you. So there was no use and telling him. Why would he even care if you were his sibling?
Things don't always go as planned.
Gojo had been your teacher for a while now, you two had grown close as he is with all his students. You were in your dorm when suddenly there was a knock on your door. You opened it and Gojo stood there holding some kind of letter in his hand
"Do you know what this is about?" he asked you, there was some hint of worry in his voice along the confusion. The letter was addressed to you, but with your real name, showing you were a Gojo.
"Why does this say your last name is Gojo?"