Final answer:
Professor McGonagall characterizes Hagrid as emotional and grieving, showing his compassionate and loyal nature.
Step-by-step explanation:
Professor McGonagall characterizes Hagrid as someone who is emotional and grieving. In the given extract, Hagrid is shown to be crying and shaking as he mourns the death of Harry's parents. Professor McGonagall is sympathetic towards Hagrid and tries to console him. This characterization helps us understand that Hagrid is a compassionate and loyal person, even though he may appear rough and intimidating due to his size and appearance.
Hence, Hagrid is described by Professor McGonagall as sensitive and bereaved, demonstrating his kind and devoted personality.