What the girl should do?.She should continue just bcoz he is talking or else quit the relation?.?

A guy and a girl are in a relationship for 2 years.Guy said to the girl that he loves her so much and cannot live without her all these 2 years and after 2 years how can that guy suddenly fall out of love and say to her that he was infatuated with her?.What does it mean when he asks the girl whether other girls would accept him?.This guy is still in her life.He wants to continue this relation.What the girl should do?.She should continue just bcoz he is talking or else quit the relation?.