If you claim to be from Gibraltar you would know it is not and does not have its own nationality or identity/ethnic culture. It is a small peice of rock attatched to mainland Spain.
I do not understand your logic behind you wanting to represent your "Rock" (name used by the UK gov to describe Gibraltar). Can we have a Manchester team? Essex? the countries of Ireland? yes countries, the irish often call their counties countries. What about North or South Holland? Brittany? Catalan?