Phonetic transliteration.
崔 ('cuī') is also a real Chinese surname (Cui), so this name will sometimes pass as 'Chinese-looking'.
美 ('beautiful') and
尔 ('thou') are workhorse transliteration syllables —
尔 in particular almost always closes English -er / -el endings (cf.
默克尔 Merkel,
米切尔 Mitchell,
沃尔玛 Walmart).