When A Person Ignores You, Should You Ignore Back?

I think its frustrating that people would ignore you. And not even give you a chance to prove yourself to them. Like the girl I like. She ignores me. It hurts. Its frustrating. Why doesn't she like me? I don't want to dwell in self pity... Self pity is not something an alpha male would do. I want to be stronger. I don't want a woman who'll have an effect on me. I want to have the power to choose which woman I like. And I want to have the emotion to withstand rejection.