your fine. the vaccine is simply trace amounts of the season's 3 most potentially harmful flu strains in a very weak or dead form to trigger your immune system to make antibodies. basically, the two systems are unrelated so your all good.
Btw, machine23, many people get the flu but dont experience symptoms b/c, like you said, they r healthy. that doesnt mean wont get the virus and that they cant transmit the virus to weaker people. the question of it working on not is answered only by what strain of the flu you contract. vaccines are meant to protect against the strain that it was made from and potentially any close relative. making vaccines for every strain is impossible since flu mutates like crazy but the gov does what it can with the money its got