Meh, what you heard were mostly just the voices of a loud and stupid minority, not he norm in the UK. I don't see any reason to feel offended by that vote result, it's nothing personal.
As an Eastern European myself, I found the UK to be the least discrimating and most fair towards immigrants than the other rich European nations when it came to glass ceilings for foreigners in their society.
Eastern Europeans, and foreigners in general for that matter, hold many top positions in companies in the UK, whereas this is much less accepted in traditional German, Austrian, Swiss, French, etc. companies for example, who are far more elitist and openly discriminatory sometimes [1].