Language left university visitor briefly embarrassed at first (10)
I believe the answer is:
portuguese
'language' is the definition.
(Portuguese is an example)
'left university visitor briefly embarrassed at first' is the wordplay.
'left' becomes 'port' (left side of a ship - opposite of starboard).
'university' becomes 'u' (abbreviation for university).
'visitor' becomes 'guest' (someone visiting a place).
'briefly' means to remove the last letter.
'at first' indicates taking the first letters.
The first letter of 'embarrassed' is 'e'.
'guest' with its last letter taken away is 'gues'.
'port'+'u'+'gues'+'e'='PORTUGUESE'
(Other definitions for portuguese that I've seen before include "description of a man-of-war?" , "EU national" , "Like da Gama" , "Language of Brazil" , "Eg, Native to Lisbon" .)