Quote “My biggest fear is that you will see me the way i see myself.”

“Study me as much as you like, you will never know me, for I differ a hundred ways from what you see me to be. Put yourself behind my eyes, and see me as I see myself, for I have chosen to dwell in a place you cannot see.”

Rumi (1207–1273) Iranian poet

Frequently quoted on social media, but was not written by Rumi in Persian.
Misattributed

“And if you come and see me,
you will upset the order.
You cannot come and see me,
for I set myself apart.
But when you come and see me,
in California,
you cross the border of my heart.”

Joanna Newsom (1982) American musician

In California
Have One On Me (2010)

“My biggest fear will be the rescue of me.”

Brandon Boyd (1976) American rock singer, writer and visual artist

Lyrics, Morning View (2001)

“As you see yourself, I once saw myself; as you see me now, you will be seen.”

Richard Rodríguez (1944) American journalist and essayist

Quoting a Mexican proverb in "Night and Day" in Frontiers (1990)

“I see you, and you see me. I experience you, and you experience me. I see your behaviour. You see my behaviour. But I do not and never have and never will see your experience of me. Just as you cannot "see" my experience of you.”

Ronald David Laing book The Politics of Experience

Source: The Politics of Experience (1967), Ch. 1 : Experience as evidence
Context: I see you, and you see me. I experience you, and you experience me. I see your behaviour. You see my behaviour. But I do not and never have and never will see your experience of me. Just as you cannot "see" my experience of you. My experience of you is not "inside" me. It is simply you, as I experience you. And I do not experience you as inside me. Similarly, I take it that you do not experience me as inside you.
"My experience of you" is just another form of words for "you-as-l-experience-you", and "your experience of me" equals "me-as-you-experience-me". Your experience of me is not inside you and my experience of you is not inside me, but your experience of me is invisible to me and my experience of you is invisible to you.