Thinking about when Chinese come up with a "English name", especially international students, it's not only for the sake of both our time, like stop repeating my Chinese name in a wrong way just trying to pronounce it right, I will never blame you for the language barriers... Just for your concern, pronouncing a name properly doesn't mean anything for me nor 99.99% of Chinese. I am happy to see someone use their Chinese name abroad, but I also don't think using an "English name" indicates cultural insecurity or Eurocentrism.
To understand this first you need to know our attitude towards Names, or what we call 姓名, xìng míng.
Just let's put it in a simply way: The meaning of a xìng míng is entirely embodied in Chinese characters 汉字hàn zì, and the pronunciation is merely for achieving a rhythm. If you don't understand Chinese characters, can't write them, can't grasp the meaning behind the hàn zì in my name, then no matter how you pronounce it, how you write it down in English letters even in 拼音pīn yīn, it won't make any sense, it still have zero differences with you barely pronounce the name. cus you have already lost the most important part of it, and this Chinese name will never be a REAL Chinese name, it will just be its pronunciation.
Chinese is a ideographic language, a name without Chinese characters will just be an empty shell, this is one of the most important cultural identity that we abandoned in order to catch up with the primitive accumulation of imperialism. As long as we stop using Chinese characters, names will no longer carry the same meanings they once did. So why waste time teaching others how to pronounce it? I support people introducing themselves using the pronunciation of their Chinese names when they are abroad, but this choice can only be left to the Chinese themselves. I mean if someone chooses to give themselves an English name, no one from any other culture has the right to raise that question: Why don't you use your Chinese name? These questions offend in a subtle way that even the Chinese themselves find hard to notice, these questions disingenuously affirm others' sense of identity in condescending ways, serving only to satisfy curiosity.
Sometimes us Chinese students try way too hard to please people. Stop sweating whether to use an English name or not, and everyone else cut out those dumbass questions about names. Not knowing someone's Chinese name doesn't mean you disrespect us or don't care about who I am.