"Odd" is just a word that means "not divisible by two". There is truly nothing special about a prime not being divisible by two. I could equally say "3 is a legendary prime god amongst countably infinite non-divisible-by-three primes", "5 is a legendary prime god amongst countably infinite non-divisible-by-five primes"... The only difference is that we do not have special words that mean non-divisible-by-three, non-divisible-by-five, etc.

In this regard, I don't see 2 as a special prime. Saying "2 is the only even prime" is the same as saying "2 is the only prime divisible by two", which, by definition, can be said about any other prime.