a university degree定an university degree??

Should be "A" university degree... because the "a" is for the degree not the university...
another example like:
A ugry picture

應該係 a university degree,

雖然 a/e/i/o/u 既字前應該加an既 (e.g. an Umbrella) 但係'U' 好特別, 正係在 pronounce 成
umbrella 個 'UM' 個音 前面先至要加 'an',

如果 pronounce 成 university 個 'U' 音就唔使,

e.g. a university, a uniform

To my knowledge, usually when a noun starts from a/e/i/o/u, we need to use [an] before it.
However, if the noun pronounces the same as the vowel, we need to use [a] instead of [an], e.g., a union, a university.

It seems that it usually happens to nouns starting with a [u].

吾系an, 系a
因為個"a"系用黎形容個degree,吾系間university.