Nevermind I'm dumb and read it wrong but I can't delete this comment. Ignore me.
She is saying that people call her Minji instead of just saying "I am Minji"
Why "I am Minji" is wrong?
AFAIK, "--라고 해요" is usual polite way to say the name...
its not wrong . sometimes u say ppl call me sol its like that u can still say im sol they r 2types of introducing yourself
X라고 하다=Xと言う(Xと言います), 叫/称作X