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If your mispronunciation of the name is based solely on your first language and accent, I would say it is fine. If that is the case, and others from your background(same first language, nation of origin, etc) would see the name and pronounce it the same, then I would consider the pronounciation correct for the language you speak.
Like you said, you don't live amongst Romanians, and frankly even if you spoke the language, unless you did live with native Romanians, you probably wouldn't have quite the same accent, and the name still would not sound the same. Unless you grow up hearing and making certain sounds, it is unlikely you will ever be able to make those sounds correctly.
Consider it the anglicized version of a name not (yet) popular enough to have been anglicized.