He said, "It is . . . . . . . . honour to be invited in . . . . . . . . university as renowned as this."

Use 'an' before words such as "hour" or "honour" which sound like they start with a vowel even if the first letter is a consonant. Also use 'an' before letters and numbers which sound like they begin with a vowel, such as "F" or "8". The word 'University' has consonant sound 'yoo'. Hence, 'a' is used.