Now, nothing stands in the way of your being extradited to the US by your own (European) government. If you are lucky, that is. If not, you may end up in the worldwide US Gulag. You may get kidnapped and put on a rendition flight to a dungeon in Uzbekistan or some other hell hole, where you will be tortured in the most horrible way. Neither your government nor the European Commission will lift a finger to prevent this.
However there may be a lighter side to it all. Since your government no longer protects your life and liberty, but on the contrary has betrayed you and given the US (with its abysmal human rights record) the right to prosecute you on trumped up and false charges, you are no longer bound by any obligations to your government. It could mean, for instance, you now have sound legal grounds to stop paying taxes.