The situation sucks. You gave it your all and did everything right. And it's okay to be hurt and mad.
They rejected the situation - not you - because they just couldn't handle it. People come with limitations. It sounds like they dealt with you as respectfully and honestly as they could.
As a secondary dealing with a long-term break-up (insert morbid laughter here), I can tell you that it does no good to try and fix your feelings one way or another. They will ebb and flow. You'll go from anger to peace to love to neutrality to renewed anger, etc. I guess it's a grieving process. But maybe focusing on the fact that it wasn't you will help you move through it more quickly. I'm so sorry. But know there is more joy in relationships ahead for you.