A unique is correct.
Why "a unique..." rather than "an unique..."?
"a" precedes words that begin with Consonant SOUNDs...[Sound not alphabet..I mean]
"an" precedes words that begin with Vowel SOUNDs...
When a "u" word is pronounced as though it begins with a "y" (yoo nique) /ju:nik/, it's treated more like the consonant sound of the y.
So, a university, a usual day,
an unusual day, an umbrella,
Moreover, "h" alphabet is the same when using an article.
e.g.
a house , a holiday ,
an hOur : the "h" in hour is silent, it sounds like the vowels "ou