So long as your Chinese name sounds nice, and you like it, surely that's enough?
A lot of learners get their names given to them by Chinese friends or teachers, often with input from themselves. You can choose a name that is entirely unrelated to your name if you want to, or you can choose a name that is related to your own.
My English name is Laurence. The transliteration of Laurence is 勞倫斯, but that sounds awful. Sometimes basing your Chinese name on your English name too literally can sound awful. I have a classmate called 鄧露西, which is an awful name. Conversely, I have a classmate called Thomas with the Chinese name 湯岳海 and another classmate called Sam wit the Chinese name 羅斌, both unrelated to Thomas and Sam.
My Chinese is 何安杰. 何 comes from my English surname, while 安杰 come from my middle names. I like my name, it sounds nice and that's all that really matters to me really.
I have no idea whether your Chinese name sounds nice or not. You need to ask a native, but if it sounds OK then why not keep it? You get to pick your own name this time round, so why not seize the opportunity?