I+go+a+wintry+way,+For+love+that+smiled+in+April+Is+false+to+me+in+May.

These three lines are the most clear about being replaced. "Love that smiled... is false to me..." This talks about the passing of time and the changing of a persons feelings towards the person that they loved. "I go a wintry way" means that being replaced and being without love, life is now sad and cold, just like winter.

Maybe 'wintry way' suggests seasons and change, not necessarily being without love.