Final answer:
Hector Berlioz's obsession with Harriet Smithson was unrequited for his entire life.
Step-by-step explanation:
Hector Berlioz's obsession with Irish actress Harriet Smithson was indeed unrequited for his entire life. The passage you provided mentions a young student who is in love with a girl but doesn't have a red rose to give her. This story is actually an excerpt from the short story 'The Nightingale and the Rose' by Oscar Wilde. It doesn't have a direct connection to the life of composer Hector Berlioz and his obsession with Harriet Smithson.