It's perfectly possible to love someone and desire very much that this person returned your affection without that person ever actually doing so. It's unfortunate, but not a paradox.
unrequited love
The unknown boy had romantic feelings for the popular girl, but his love was unrequited.
The word unrequited is an adjective. It means unanswered or not returned.
Unrequited Love - 1908 was released on: USA: July 1908
She loved him, but he did not feel the same way. It was unrequited love.
She loved him, but he did not feel the same way. It was unrequited love.
The cast of Unrequited Love - 2009 includes: Max Irons as Tom
Love Paradox was created on 2008-03-26.
"unrequited"http://www.merriam-webster.com/dictionary/unrequited
When it is unrequited.
Love: Unrequited
unrequited love and jealousy as common themes