Yes, I believe she was right, and I'm sorry you decided not to vote. Over the years, I've visited many countries whose citizens would have given almost anything to be able to vote for their leaders. If more people felt like you do and refused to vote, eventually we'd be ruled by tyrants and scoundrels.
I know it's easy to become cynical about politics -- but I've known countless people in politics, and the overwhelming majority were men and women who were dedicated to serving others and tried to do what was right. No, they weren't perfect, and I didn't always agree with their stands on some issues -- but that didn't make me cynical about our political system or make me refuse to vote. Nor should it you.
The most important thing we can do is to pray for our leaders -- not just those in our own country, but throughout the world. The Bible says, "I urge, then, first of all, that requests, prayers, intercession and thanksgiving be made for everyone -- for kings and all those in authority, that we may live peaceful and quiet lives in all godliness and holiness" (1 Timothy 2:1-2).
God wants us to do all we can to build a more just society and drive back the forces of evil -- and voting is one way we can do this. But Christians also know that this world will never be perfect -- not until Christ returns to establish His kingdom of justice and righteousness. Is your faith and hope in Him?