The sentence having an infinitive that functions as an
adverb is ‘By late in the afternoon, we were worried to hear the reports of the
storm. ‘ Here, the verb ‘to hear’ which is an infinitive as well was described
by and adverb ‘worried’.
It's most likely D, having little value.
Context clues:
Fans want to hear the important parts of the game, so if he is trying to "annoy" them, he must not be saying anything important. So it's "having little value".
something she gave him probably reminded him of something bad from his childhood